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Finding the Third Proportional to 240,775.75 and 360,377.38

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Solution

The third proportional to 240,775.75 and 360,377.38 is: 539,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,775.75 : 360,377.38 = 360,377.38 : x
  2. Step 2: Convert to fraction form
    240,775.75/360,377.38 = 360,377.38/x
  3. Step 3: Cross multiply
    240,775.75x = 360,377.38 × 360,377.38
  4. Step 4: Simplify right side
    240,775.75x = 129,871,852,411.89
  5. Step 5: Solve for x
    x = 129,871,852,411.89/240,775.75
  6. Step 6: Final answer
    x = 539,389.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.