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Finding the Third Proportional to 240,350.63 and 377,025.38

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Solution

The third proportional to 240,350.63 and 377,025.38 is: 591,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,350.63 : 377,025.38 = 377,025.38 : x
  2. Step 2: Convert to fraction form
    240,350.63/377,025.38 = 377,025.38/x
  3. Step 3: Cross multiply
    240,350.63x = 377,025.38 × 377,025.38
  4. Step 4: Simplify right side
    240,350.63x = 142,148,133,393.89
  5. Step 5: Solve for x
    x = 142,148,133,393.89/240,350.63
  6. Step 6: Final answer
    x = 591,419.86

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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.