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Finding the Third Proportional to 130,886 and 207,588

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Solution

The third proportional to 130,886 and 207,588 is: 329,239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,886 : 207,588 = 207,588 : x
  2. Step 2: Convert to fraction form
    130,886/207,588 = 207,588/x
  3. Step 3: Cross multiply
    130,886x = 207,588 × 207,588
  4. Step 4: Simplify right side
    130,886x = 43,092,777,744
  5. Step 5: Solve for x
    x = 43,092,777,744/130,886
  6. Step 6: Final answer
    x = 329,239.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.