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Finding the Third Proportional to 174,663 and 377,217

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Solution

The third proportional to 174,663 and 377,217 is: 814,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,663 : 377,217 = 377,217 : x
  2. Step 2: Convert to fraction form
    174,663/377,217 = 377,217/x
  3. Step 3: Cross multiply
    174,663x = 377,217 × 377,217
  4. Step 4: Simplify right side
    174,663x = 142,292,665,089
  5. Step 5: Solve for x
    x = 142,292,665,089/174,663
  6. Step 6: Final answer
    x = 814,669.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.