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Finding the Third Proportional to 113,292 and 248,952

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Solution

The third proportional to 113,292 and 248,952 is: 547,056.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,292 : 248,952 = 248,952 : x
  2. Step 2: Convert to fraction form
    113,292/248,952 = 248,952/x
  3. Step 3: Cross multiply
    113,292x = 248,952 × 248,952
  4. Step 4: Simplify right side
    113,292x = 61,977,098,304
  5. Step 5: Solve for x
    x = 61,977,098,304/113,292
  6. Step 6: Final answer
    x = 547,056.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.