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Finding the Third Proportional to 171,570 and 247,514

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Solution

The third proportional to 171,570 and 247,514 is: 357,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,570 : 247,514 = 247,514 : x
  2. Step 2: Convert to fraction form
    171,570/247,514 = 247,514/x
  3. Step 3: Cross multiply
    171,570x = 247,514 × 247,514
  4. Step 4: Simplify right side
    171,570x = 61,263,180,196
  5. Step 5: Solve for x
    x = 61,263,180,196/171,570
  6. Step 6: Final answer
    x = 357,073.97

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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.