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Finding the Third Proportional to 174,930 and 377,508

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Solution

The third proportional to 174,930 and 377,508 is: 814,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,930 : 377,508 = 377,508 : x
  2. Step 2: Convert to fraction form
    174,930/377,508 = 377,508/x
  3. Step 3: Cross multiply
    174,930x = 377,508 × 377,508
  4. Step 4: Simplify right side
    174,930x = 142,512,290,064
  5. Step 5: Solve for x
    x = 142,512,290,064/174,930
  6. Step 6: Final answer
    x = 814,681.82

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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.