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Finding the Third Proportional to 240,340.50 and 377,007.75

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Solution

The third proportional to 240,340.50 and 377,007.75 is: 591,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,340.50 : 377,007.75 = 377,007.75 : x
  2. Step 2: Convert to fraction form
    240,340.50/377,007.75 = 377,007.75/x
  3. Step 3: Cross multiply
    240,340.50x = 377,007.75 × 377,007.75
  4. Step 4: Simplify right side
    240,340.50x = 142,134,843,560.06
  5. Step 5: Solve for x
    x = 142,134,843,560.06/240,340.50
  6. Step 6: Final answer
    x = 591,389.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.