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Finding the Third Proportional to 185,701.50 and 287,070.75

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Solution

The third proportional to 185,701.50 and 287,070.75 is: 443,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,701.50 : 287,070.75 = 287,070.75 : x
  2. Step 2: Convert to fraction form
    185,701.50/287,070.75 = 287,070.75/x
  3. Step 3: Cross multiply
    185,701.50x = 287,070.75 × 287,070.75
  4. Step 4: Simplify right side
    185,701.50x = 82,409,615,505.56
  5. Step 5: Solve for x
    x = 82,409,615,505.56/185,701.50
  6. Step 6: Final answer
    x = 443,774.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.