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Finding the Third Proportional to 235,098 and 515,266.50

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Solution

The third proportional to 235,098 and 515,266.50 is: 1,129,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,098 : 515,266.50 = 515,266.50 : x
  2. Step 2: Convert to fraction form
    235,098/515,266.50 = 515,266.50/x
  3. Step 3: Cross multiply
    235,098x = 515,266.50 × 515,266.50
  4. Step 4: Simplify right side
    235,098x = 265,499,566,022.25
  5. Step 5: Solve for x
    x = 265,499,566,022.25/235,098
  6. Step 6: Final answer
    x = 1,129,314.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.