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Finding the Third Proportional to 142,703.25 and 222,225.75

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Solution

The third proportional to 142,703.25 and 222,225.75 is: 346,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,703.25 : 222,225.75 = 222,225.75 : x
  2. Step 2: Convert to fraction form
    142,703.25/222,225.75 = 222,225.75/x
  3. Step 3: Cross multiply
    142,703.25x = 222,225.75 × 222,225.75
  4. Step 4: Simplify right side
    142,703.25x = 49,384,283,963.06
  5. Step 5: Solve for x
    x = 49,384,283,963.06/142,703.25
  6. Step 6: Final answer
    x = 346,062.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.