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Finding the Third Proportional to 116,656.88 and 255,909.38

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Solution

The third proportional to 116,656.88 and 255,909.38 is: 561,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,656.88 : 255,909.38 = 255,909.38 : x
  2. Step 2: Convert to fraction form
    116,656.88/255,909.38 = 255,909.38/x
  3. Step 3: Cross multiply
    116,656.88x = 255,909.38 × 255,909.38
  4. Step 4: Simplify right side
    116,656.88x = 65,489,608,212.89
  5. Step 5: Solve for x
    x = 65,489,608,212.89/116,656.88
  6. Step 6: Final answer
    x = 561,386.62

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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.