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Finding the Third Proportional to 132,438 and 289,632

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Solution

The third proportional to 132,438 and 289,632 is: 633,403.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,438 : 289,632 = 289,632 : x
  2. Step 2: Convert to fraction form
    132,438/289,632 = 289,632/x
  3. Step 3: Cross multiply
    132,438x = 289,632 × 289,632
  4. Step 4: Simplify right side
    132,438x = 83,886,695,424
  5. Step 5: Solve for x
    x = 83,886,695,424/132,438
  6. Step 6: Final answer
    x = 633,403.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.