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Finding the Third Proportional to 128,634 and 278,646

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Solution

The third proportional to 128,634 and 278,646 is: 603,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,634 : 278,646 = 278,646 : x
  2. Step 2: Convert to fraction form
    128,634/278,646 = 278,646/x
  3. Step 3: Cross multiply
    128,634x = 278,646 × 278,646
  4. Step 4: Simplify right side
    128,634x = 77,643,593,316
  5. Step 5: Solve for x
    x = 77,643,593,316/128,634
  6. Step 6: Final answer
    x = 603,600.86

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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.