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Finding the Third Proportional to 85,180.50 and 185,275.13

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Solution

The third proportional to 85,180.50 and 185,275.13 is: 402,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,180.50 : 185,275.13 = 185,275.13 : x
  2. Step 2: Convert to fraction form
    85,180.50/185,275.13 = 185,275.13/x
  3. Step 3: Cross multiply
    85,180.50x = 185,275.13 × 185,275.13
  4. Step 4: Simplify right side
    85,180.50x = 34,326,871,943.77
  5. Step 5: Solve for x
    x = 34,326,871,943.77/85,180.50
  6. Step 6: Final answer
    x = 402,989.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.