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Finding the Third Proportional to 171,566 and 247,508

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Solution

The third proportional to 171,566 and 247,508 is: 357,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,566 : 247,508 = 247,508 : x
  2. Step 2: Convert to fraction form
    171,566/247,508 = 247,508/x
  3. Step 3: Cross multiply
    171,566x = 247,508 × 247,508
  4. Step 4: Simplify right side
    171,566x = 61,260,210,064
  5. Step 5: Solve for x
    x = 61,260,210,064/171,566
  6. Step 6: Final answer
    x = 357,064.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.