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Finding the Third Proportional to 141,387.75 and 307,743.75

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Solution

The third proportional to 141,387.75 and 307,743.75 is: 669,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,387.75 : 307,743.75 = 307,743.75 : x
  2. Step 2: Convert to fraction form
    141,387.75/307,743.75 = 307,743.75/x
  3. Step 3: Cross multiply
    141,387.75x = 307,743.75 × 307,743.75
  4. Step 4: Simplify right side
    141,387.75x = 94,706,215,664.06
  5. Step 5: Solve for x
    x = 94,706,215,664.06/141,387.75
  6. Step 6: Final answer
    x = 669,833.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.