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Finding the Third Proportional to 240,546.50 and 380,871.75

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Solution

The third proportional to 240,546.50 and 380,871.75 is: 603,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,546.50 : 380,871.75 = 380,871.75 : x
  2. Step 2: Convert to fraction form
    240,546.50/380,871.75 = 380,871.75/x
  3. Step 3: Cross multiply
    240,546.50x = 380,871.75 × 380,871.75
  4. Step 4: Simplify right side
    240,546.50x = 145,063,289,948.06
  5. Step 5: Solve for x
    x = 145,063,289,948.06/240,546.50
  6. Step 6: Final answer
    x = 603,057.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.