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Finding the Third Proportional to 140,833.69 and 313,151.06

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Solution

The third proportional to 140,833.69 and 313,151.06 is: 696,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,833.69 : 313,151.06 = 313,151.06 : x
  2. Step 2: Convert to fraction form
    140,833.69/313,151.06 = 313,151.06/x
  3. Step 3: Cross multiply
    140,833.69x = 313,151.06 × 313,151.06
  4. Step 4: Simplify right side
    140,833.69x = 98,063,587,944.88
  5. Step 5: Solve for x
    x = 98,063,587,944.88/140,833.69
  6. Step 6: Final answer
    x = 696,307.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.