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Finding the Third Proportional to 252,146.25 and 546,291

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Solution

The third proportional to 252,146.25 and 546,291 is: 1,183,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,146.25 : 546,291 = 546,291 : x
  2. Step 2: Convert to fraction form
    252,146.25/546,291 = 546,291/x
  3. Step 3: Cross multiply
    252,146.25x = 546,291 × 546,291
  4. Step 4: Simplify right side
    252,146.25x = 298,433,856,681
  5. Step 5: Solve for x
    x = 298,433,856,681/252,146.25
  6. Step 6: Final answer
    x = 1,183,574.44

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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.