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Finding the Third Proportional to 142,466.50 and 219,867.50

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Solution

The third proportional to 142,466.50 and 219,867.50 is: 339,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,466.50 : 219,867.50 = 219,867.50 : x
  2. Step 2: Convert to fraction form
    142,466.50/219,867.50 = 219,867.50/x
  3. Step 3: Cross multiply
    142,466.50x = 219,867.50 × 219,867.50
  4. Step 4: Simplify right side
    142,466.50x = 48,341,717,556.25
  5. Step 5: Solve for x
    x = 48,341,717,556.25/142,466.50
  6. Step 6: Final answer
    x = 339,319.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.