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Finding the Third Proportional to 148,387 and 227,495

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Solution

The third proportional to 148,387 and 227,495 is: 348,777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,387 : 227,495 = 227,495 : x
  2. Step 2: Convert to fraction form
    148,387/227,495 = 227,495/x
  3. Step 3: Cross multiply
    148,387x = 227,495 × 227,495
  4. Step 4: Simplify right side
    148,387x = 51,753,975,025
  5. Step 5: Solve for x
    x = 51,753,975,025/148,387
  6. Step 6: Final answer
    x = 348,777.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.