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Finding the Third Proportional to 115,283 and 251,437

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Solution

The third proportional to 115,283 and 251,437 is: 548,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,283 : 251,437 = 251,437 : x
  2. Step 2: Convert to fraction form
    115,283/251,437 = 251,437/x
  3. Step 3: Cross multiply
    115,283x = 251,437 × 251,437
  4. Step 4: Simplify right side
    115,283x = 63,220,564,969
  5. Step 5: Solve for x
    x = 63,220,564,969/115,283
  6. Step 6: Final answer
    x = 548,394.52

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Why These Related Problems?

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