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Finding the Third Proportional to 240,327 and 362,332.50

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Solution

The third proportional to 240,327 and 362,332.50 is: 546,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,327 : 362,332.50 = 362,332.50 : x
  2. Step 2: Convert to fraction form
    240,327/362,332.50 = 362,332.50/x
  3. Step 3: Cross multiply
    240,327x = 362,332.50 × 362,332.50
  4. Step 4: Simplify right side
    240,327x = 131,284,840,556.25
  5. Step 5: Solve for x
    x = 131,284,840,556.25/240,327
  6. Step 6: Final answer
    x = 546,275.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.