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Finding the Third Proportional to 240,697.50 and 372,513

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Solution

The third proportional to 240,697.50 and 372,513 is: 576,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,697.50 : 372,513 = 372,513 : x
  2. Step 2: Convert to fraction form
    240,697.50/372,513 = 372,513/x
  3. Step 3: Cross multiply
    240,697.50x = 372,513 × 372,513
  4. Step 4: Simplify right side
    240,697.50x = 138,765,935,169
  5. Step 5: Solve for x
    x = 138,765,935,169/240,697.50
  6. Step 6: Final answer
    x = 576,515.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.