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Finding the Third Proportional to 142,627.50 and 219,248.44

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Solution

The third proportional to 142,627.50 and 219,248.44 is: 337,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,627.50 : 219,248.44 = 219,248.44 : x
  2. Step 2: Convert to fraction form
    142,627.50/219,248.44 = 219,248.44/x
  3. Step 3: Cross multiply
    142,627.50x = 219,248.44 × 219,248.44
  4. Step 4: Simplify right side
    142,627.50x = 48,069,877,346.19
  5. Step 5: Solve for x
    x = 48,069,877,346.19/142,627.50
  6. Step 6: Final answer
    x = 337,030.92

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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.