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Finding the Third Proportional to 174,352 and 377,600

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Solution

The third proportional to 174,352 and 377,600 is: 817,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,352 : 377,600 = 377,600 : x
  2. Step 2: Convert to fraction form
    174,352/377,600 = 377,600/x
  3. Step 3: Cross multiply
    174,352x = 377,600 × 377,600
  4. Step 4: Simplify right side
    174,352x = 142,581,760,000
  5. Step 5: Solve for x
    x = 142,581,760,000/174,352
  6. Step 6: Final answer
    x = 817,781.04

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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.