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Finding the Third Proportional to 164,202 and 353,733

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Solution

The third proportional to 164,202 and 353,733 is: 762,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,202 : 353,733 = 353,733 : x
  2. Step 2: Convert to fraction form
    164,202/353,733 = 353,733/x
  3. Step 3: Cross multiply
    164,202x = 353,733 × 353,733
  4. Step 4: Simplify right side
    164,202x = 125,127,035,289
  5. Step 5: Solve for x
    x = 125,127,035,289/164,202
  6. Step 6: Final answer
    x = 762,031.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.