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Finding the Third Proportional to 191,656.13 and 421,858.13

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Solution

The third proportional to 191,656.13 and 421,858.13 is: 928,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,656.13 : 421,858.13 = 421,858.13 : x
  2. Step 2: Convert to fraction form
    191,656.13/421,858.13 = 421,858.13/x
  3. Step 3: Cross multiply
    191,656.13x = 421,858.13 × 421,858.13
  4. Step 4: Simplify right side
    191,656.13x = 177,964,277,628.52
  5. Step 5: Solve for x
    x = 177,964,277,628.52/191,656.13
  6. Step 6: Final answer
    x = 928,560.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.