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Finding the Third Proportional to 105,374 and 230,419

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Solution

The third proportional to 105,374 and 230,419 is: 503,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,374 : 230,419 = 230,419 : x
  2. Step 2: Convert to fraction form
    105,374/230,419 = 230,419/x
  3. Step 3: Cross multiply
    105,374x = 230,419 × 230,419
  4. Step 4: Simplify right side
    105,374x = 53,092,915,561
  5. Step 5: Solve for x
    x = 53,092,915,561/105,374
  6. Step 6: Final answer
    x = 503,852.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.