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Finding the Third Proportional to 173,404 and 368,964

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Solution

The third proportional to 173,404 and 368,964 is: 785,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,404 : 368,964 = 368,964 : x
  2. Step 2: Convert to fraction form
    173,404/368,964 = 368,964/x
  3. Step 3: Cross multiply
    173,404x = 368,964 × 368,964
  4. Step 4: Simplify right side
    173,404x = 136,134,433,296
  5. Step 5: Solve for x
    x = 136,134,433,296/173,404
  6. Step 6: Final answer
    x = 785,070.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.