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Finding the Third Proportional to 252,398.25 and 546,930

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Solution

The third proportional to 252,398.25 and 546,930 is: 1,185,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,398.25 : 546,930 = 546,930 : x
  2. Step 2: Convert to fraction form
    252,398.25/546,930 = 546,930/x
  3. Step 3: Cross multiply
    252,398.25x = 546,930 × 546,930
  4. Step 4: Simplify right side
    252,398.25x = 299,132,424,900
  5. Step 5: Solve for x
    x = 299,132,424,900/252,398.25
  6. Step 6: Final answer
    x = 1,185,160.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.