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Finding the Third Proportional to 185,252.50 and 287,030.75

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Solution

The third proportional to 185,252.50 and 287,030.75 is: 444,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,252.50 : 287,030.75 = 287,030.75 : x
  2. Step 2: Convert to fraction form
    185,252.50/287,030.75 = 287,030.75/x
  3. Step 3: Cross multiply
    185,252.50x = 287,030.75 × 287,030.75
  4. Step 4: Simplify right side
    185,252.50x = 82,386,651,445.56
  5. Step 5: Solve for x
    x = 82,386,651,445.56/185,252.50
  6. Step 6: Final answer
    x = 444,726.26

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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.