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Finding the Third Proportional to 185,730 and 278,598

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Solution

The third proportional to 185,730 and 278,598 is: 417,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,730 : 278,598 = 278,598 : x
  2. Step 2: Convert to fraction form
    185,730/278,598 = 278,598/x
  3. Step 3: Cross multiply
    185,730x = 278,598 × 278,598
  4. Step 4: Simplify right side
    185,730x = 77,616,845,604
  5. Step 5: Solve for x
    x = 77,616,845,604/185,730
  6. Step 6: Final answer
    x = 417,901.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.