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Finding the Third Proportional to 251,031.38 and 542,853

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Solution

The third proportional to 251,031.38 and 542,853 is: 1,173,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,031.38 : 542,853 = 542,853 : x
  2. Step 2: Convert to fraction form
    251,031.38/542,853 = 542,853/x
  3. Step 3: Cross multiply
    251,031.38x = 542,853 × 542,853
  4. Step 4: Simplify right side
    251,031.38x = 294,689,379,609
  5. Step 5: Solve for x
    x = 294,689,379,609/251,031.38
  6. Step 6: Final answer
    x = 1,173,914.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.