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Finding the Third Proportional to 142,042.50 and 310,812.75

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Solution

The third proportional to 142,042.50 and 310,812.75 is: 680,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,042.50 : 310,812.75 = 310,812.75 : x
  2. Step 2: Convert to fraction form
    142,042.50/310,812.75 = 310,812.75/x
  3. Step 3: Cross multiply
    142,042.50x = 310,812.75 × 310,812.75
  4. Step 4: Simplify right side
    142,042.50x = 96,604,565,562.56
  5. Step 5: Solve for x
    x = 96,604,565,562.56/142,042.50
  6. Step 6: Final answer
    x = 680,110.29

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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.