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Finding the Third Proportional to 195,625.13 and 412,264.13

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Solution

The third proportional to 195,625.13 and 412,264.13 is: 868,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,625.13 : 412,264.13 = 412,264.13 : x
  2. Step 2: Convert to fraction form
    195,625.13/412,264.13 = 412,264.13/x
  3. Step 3: Cross multiply
    195,625.13x = 412,264.13 × 412,264.13
  4. Step 4: Simplify right side
    195,625.13x = 169,961,708,762.02
  5. Step 5: Solve for x
    x = 169,961,708,762.02/195,625.13
  6. Step 6: Final answer
    x = 868,813.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.