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Finding the Third Proportional to 101,296.50 and 234,513

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Solution

The third proportional to 101,296.50 and 234,513 is: 542,924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,296.50 : 234,513 = 234,513 : x
  2. Step 2: Convert to fraction form
    101,296.50/234,513 = 234,513/x
  3. Step 3: Cross multiply
    101,296.50x = 234,513 × 234,513
  4. Step 4: Simplify right side
    101,296.50x = 54,996,347,169
  5. Step 5: Solve for x
    x = 54,996,347,169/101,296.50
  6. Step 6: Final answer
    x = 542,924.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.