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Finding the Third Proportional to 195,598.13 and 412,562.25

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Solution

The third proportional to 195,598.13 and 412,562.25 is: 870,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,598.13 : 412,562.25 = 412,562.25 : x
  2. Step 2: Convert to fraction form
    195,598.13/412,562.25 = 412,562.25/x
  3. Step 3: Cross multiply
    195,598.13x = 412,562.25 × 412,562.25
  4. Step 4: Simplify right side
    195,598.13x = 170,207,610,125.06
  5. Step 5: Solve for x
    x = 170,207,610,125.06/195,598.13
  6. Step 6: Final answer
    x = 870,190.40

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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.