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Finding the Third Proportional to 141,003 and 305,374.50

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Solution

The third proportional to 141,003 and 305,374.50 is: 661,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,003 : 305,374.50 = 305,374.50 : x
  2. Step 2: Convert to fraction form
    141,003/305,374.50 = 305,374.50/x
  3. Step 3: Cross multiply
    141,003x = 305,374.50 × 305,374.50
  4. Step 4: Simplify right side
    141,003x = 93,253,585,250.25
  5. Step 5: Solve for x
    x = 93,253,585,250.25/141,003
  6. Step 6: Final answer
    x = 661,358.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.