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Finding the Third Proportional to 142,461.75 and 225,584.44

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Solution

The third proportional to 142,461.75 and 225,584.44 is: 357,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,461.75 : 225,584.44 = 225,584.44 : x
  2. Step 2: Convert to fraction form
    142,461.75/225,584.44 = 225,584.44/x
  3. Step 3: Cross multiply
    142,461.75x = 225,584.44 × 225,584.44
  4. Step 4: Simplify right side
    142,461.75x = 50,888,338,442.19
  5. Step 5: Solve for x
    x = 50,888,338,442.19/142,461.75
  6. Step 6: Final answer
    x = 357,207.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.