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Finding the Third Proportional to 136,428 and 291,802

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Solution

The third proportional to 136,428 and 291,802 is: 624,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,428 : 291,802 = 291,802 : x
  2. Step 2: Convert to fraction form
    136,428/291,802 = 291,802/x
  3. Step 3: Cross multiply
    136,428x = 291,802 × 291,802
  4. Step 4: Simplify right side
    136,428x = 85,148,407,204
  5. Step 5: Solve for x
    x = 85,148,407,204/136,428
  6. Step 6: Final answer
    x = 624,127.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.