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Finding the Third Proportional to 180,063.56 and 386,371.13

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Solution

The third proportional to 180,063.56 and 386,371.13 is: 829,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,063.56 : 386,371.13 = 386,371.13 : x
  2. Step 2: Convert to fraction form
    180,063.56/386,371.13 = 386,371.13/x
  3. Step 3: Cross multiply
    180,063.56x = 386,371.13 × 386,371.13
  4. Step 4: Simplify right side
    180,063.56x = 149,282,646,233.77
  5. Step 5: Solve for x
    x = 149,282,646,233.77/180,063.56
  6. Step 6: Final answer
    x = 829,055.27

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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.