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Finding the Third Proportional to 142,023.75 and 305,505.75

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Solution

The third proportional to 142,023.75 and 305,505.75 is: 657,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,023.75 : 305,505.75 = 305,505.75 : x
  2. Step 2: Convert to fraction form
    142,023.75/305,505.75 = 305,505.75/x
  3. Step 3: Cross multiply
    142,023.75x = 305,505.75 × 305,505.75
  4. Step 4: Simplify right side
    142,023.75x = 93,333,763,283.06
  5. Step 5: Solve for x
    x = 93,333,763,283.06/142,023.75
  6. Step 6: Final answer
    x = 657,170.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.