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Finding the Third Proportional to 195,769.13 and 429,355.13

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Solution

The third proportional to 195,769.13 and 429,355.13 is: 941,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,769.13 : 429,355.13 = 429,355.13 : x
  2. Step 2: Convert to fraction form
    195,769.13/429,355.13 = 429,355.13/x
  3. Step 3: Cross multiply
    195,769.13x = 429,355.13 × 429,355.13
  4. Step 4: Simplify right side
    195,769.13x = 184,345,823,363.77
  5. Step 5: Solve for x
    x = 184,345,823,363.77/195,769.13
  6. Step 6: Final answer
    x = 941,649.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.