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Finding the Third Proportional to 115,281 and 251,433

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Solution

The third proportional to 115,281 and 251,433 is: 548,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,281 : 251,433 = 251,433 : x
  2. Step 2: Convert to fraction form
    115,281/251,433 = 251,433/x
  3. Step 3: Cross multiply
    115,281x = 251,433 × 251,433
  4. Step 4: Simplify right side
    115,281x = 63,218,553,489
  5. Step 5: Solve for x
    x = 63,218,553,489/115,281
  6. Step 6: Final answer
    x = 548,386.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.