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Finding the Third Proportional to 128,632 and 278,729

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Solution

The third proportional to 128,632 and 278,729 is: 603,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,632 : 278,729 = 278,729 : x
  2. Step 2: Convert to fraction form
    128,632/278,729 = 278,729/x
  3. Step 3: Cross multiply
    128,632x = 278,729 × 278,729
  4. Step 4: Simplify right side
    128,632x = 77,689,855,441
  5. Step 5: Solve for x
    x = 77,689,855,441/128,632
  6. Step 6: Final answer
    x = 603,969.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.