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Finding the Third Proportional to 231,574 and 346,387

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Solution

The third proportional to 231,574 and 346,387 is: 518,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,574 : 346,387 = 346,387 : x
  2. Step 2: Convert to fraction form
    231,574/346,387 = 346,387/x
  3. Step 3: Cross multiply
    231,574x = 346,387 × 346,387
  4. Step 4: Simplify right side
    231,574x = 119,983,953,769
  5. Step 5: Solve for x
    x = 119,983,953,769/231,574
  6. Step 6: Final answer
    x = 518,123.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.