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Finding the Third Proportional to 240,325.50 and 362,328.75

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Solution

The third proportional to 240,325.50 and 362,328.75 is: 546,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,325.50 : 362,328.75 = 362,328.75 : x
  2. Step 2: Convert to fraction form
    240,325.50/362,328.75 = 362,328.75/x
  3. Step 3: Cross multiply
    240,325.50x = 362,328.75 × 362,328.75
  4. Step 4: Simplify right side
    240,325.50x = 131,282,123,076.56
  5. Step 5: Solve for x
    x = 131,282,123,076.56/240,325.50
  6. Step 6: Final answer
    x = 546,267.97

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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.