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Finding the Third Proportional to 130,845 and 207,524

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Solution

The third proportional to 130,845 and 207,524 is: 329,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,845 : 207,524 = 207,524 : x
  2. Step 2: Convert to fraction form
    130,845/207,524 = 207,524/x
  3. Step 3: Cross multiply
    130,845x = 207,524 × 207,524
  4. Step 4: Simplify right side
    130,845x = 43,066,210,576
  5. Step 5: Solve for x
    x = 43,066,210,576/130,845
  6. Step 6: Final answer
    x = 329,139.14

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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.