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Finding the Third Proportional to 140,842.13 and 303,814.13

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Solution

The third proportional to 140,842.13 and 303,814.13 is: 655,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,842.13 : 303,814.13 = 303,814.13 : x
  2. Step 2: Convert to fraction form
    140,842.13/303,814.13 = 303,814.13/x
  3. Step 3: Cross multiply
    140,842.13x = 303,814.13 × 303,814.13
  4. Step 4: Simplify right side
    140,842.13x = 92,303,022,549.52
  5. Step 5: Solve for x
    x = 92,303,022,549.52/140,842.13
  6. Step 6: Final answer
    x = 655,365.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.