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Finding the Third Proportional to 164,031.38 and 341,150.63

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Solution

The third proportional to 164,031.38 and 341,150.63 is: 709,521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,031.38 : 341,150.63 = 341,150.63 : x
  2. Step 2: Convert to fraction form
    164,031.38/341,150.63 = 341,150.63/x
  3. Step 3: Cross multiply
    164,031.38x = 341,150.63 × 341,150.63
  4. Step 4: Simplify right side
    164,031.38x = 116,383,748,937.89
  5. Step 5: Solve for x
    x = 116,383,748,937.89/164,031.38
  6. Step 6: Final answer
    x = 709,521.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.