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Finding the Third Proportional to 128,522 and 278,498

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Solution

The third proportional to 128,522 and 278,498 is: 603,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,522 : 278,498 = 278,498 : x
  2. Step 2: Convert to fraction form
    128,522/278,498 = 278,498/x
  3. Step 3: Cross multiply
    128,522x = 278,498 × 278,498
  4. Step 4: Simplify right side
    128,522x = 77,561,136,004
  5. Step 5: Solve for x
    x = 77,561,136,004/128,522
  6. Step 6: Final answer
    x = 603,485.29

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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.