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Finding the Third Proportional to 181,038 and 274,473

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Solution

The third proportional to 181,038 and 274,473 is: 416,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,038 : 274,473 = 274,473 : x
  2. Step 2: Convert to fraction form
    181,038/274,473 = 274,473/x
  3. Step 3: Cross multiply
    181,038x = 274,473 × 274,473
  4. Step 4: Simplify right side
    181,038x = 75,335,427,729
  5. Step 5: Solve for x
    x = 75,335,427,729/181,038
  6. Step 6: Final answer
    x = 416,130.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.