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Finding the Third Proportional to 185,715.75 and 400,987.50

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Solution

The third proportional to 185,715.75 and 400,987.50 is: 865,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,715.75 : 400,987.50 = 400,987.50 : x
  2. Step 2: Convert to fraction form
    185,715.75/400,987.50 = 400,987.50/x
  3. Step 3: Cross multiply
    185,715.75x = 400,987.50 × 400,987.50
  4. Step 4: Simplify right side
    185,715.75x = 160,790,975,156.25
  5. Step 5: Solve for x
    x = 160,790,975,156.25/185,715.75
  6. Step 6: Final answer
    x = 865,790.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.