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Finding the Third Proportional to 181,374 and 377,463

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Solution

The third proportional to 181,374 and 377,463 is: 785,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,374 : 377,463 = 377,463 : x
  2. Step 2: Convert to fraction form
    181,374/377,463 = 377,463/x
  3. Step 3: Cross multiply
    181,374x = 377,463 × 377,463
  4. Step 4: Simplify right side
    181,374x = 142,478,316,369
  5. Step 5: Solve for x
    x = 142,478,316,369/181,374
  6. Step 6: Final answer
    x = 785,549.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.