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Finding the Third Proportional to 231,316.50 and 515,820

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Solution

The third proportional to 231,316.50 and 515,820 is: 1,150,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,316.50 : 515,820 = 515,820 : x
  2. Step 2: Convert to fraction form
    231,316.50/515,820 = 515,820/x
  3. Step 3: Cross multiply
    231,316.50x = 515,820 × 515,820
  4. Step 4: Simplify right side
    231,316.50x = 266,070,272,400
  5. Step 5: Solve for x
    x = 266,070,272,400/231,316.50
  6. Step 6: Final answer
    x = 1,150,243.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.