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Finding the Third Proportional to 231,572 and 346,384

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Solution

The third proportional to 231,572 and 346,384 is: 518,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,572 : 346,384 = 346,384 : x
  2. Step 2: Convert to fraction form
    231,572/346,384 = 346,384/x
  3. Step 3: Cross multiply
    231,572x = 346,384 × 346,384
  4. Step 4: Simplify right side
    231,572x = 119,981,875,456
  5. Step 5: Solve for x
    x = 119,981,875,456/231,572
  6. Step 6: Final answer
    x = 518,119.10

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Why These Related Problems?

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