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Finding the Third Proportional to 255,793.13 and 426,295.69

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Solution

The third proportional to 255,793.13 and 426,295.69 is: 710,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,793.13 : 426,295.69 = 426,295.69 : x
  2. Step 2: Convert to fraction form
    255,793.13/426,295.69 = 426,295.69/x
  3. Step 3: Cross multiply
    255,793.13x = 426,295.69 × 426,295.69
  4. Step 4: Simplify right side
    255,793.13x = 181,728,013,181.10
  5. Step 5: Solve for x
    x = 181,728,013,181.10/255,793.13
  6. Step 6: Final answer
    x = 710,449.17

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.