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Finding the Third Proportional to 240,700.50 and 371,427.75

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Solution

The third proportional to 240,700.50 and 371,427.75 is: 573,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,700.50 : 371,427.75 = 371,427.75 : x
  2. Step 2: Convert to fraction form
    240,700.50/371,427.75 = 371,427.75/x
  3. Step 3: Cross multiply
    240,700.50x = 371,427.75 × 371,427.75
  4. Step 4: Simplify right side
    240,700.50x = 137,958,573,470.06
  5. Step 5: Solve for x
    x = 137,958,573,470.06/240,700.50
  6. Step 6: Final answer
    x = 573,154.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.