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Finding the Third Proportional to 237,205.50 and 510,678.75

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Solution

The third proportional to 237,205.50 and 510,678.75 is: 1,099,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,205.50 : 510,678.75 = 510,678.75 : x
  2. Step 2: Convert to fraction form
    237,205.50/510,678.75 = 510,678.75/x
  3. Step 3: Cross multiply
    237,205.50x = 510,678.75 × 510,678.75
  4. Step 4: Simplify right side
    237,205.50x = 260,792,785,701.56
  5. Step 5: Solve for x
    x = 260,792,785,701.56/237,205.50
  6. Step 6: Final answer
    x = 1,099,438.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.