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Finding the Third Proportional to 151,298.50 and 219,853.50

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Solution

The third proportional to 151,298.50 and 219,853.50 is: 319,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,298.50 : 219,853.50 = 219,853.50 : x
  2. Step 2: Convert to fraction form
    151,298.50/219,853.50 = 219,853.50/x
  3. Step 3: Cross multiply
    151,298.50x = 219,853.50 × 219,853.50
  4. Step 4: Simplify right side
    151,298.50x = 48,335,561,462.25
  5. Step 5: Solve for x
    x = 48,335,561,462.25/151,298.50
  6. Step 6: Final answer
    x = 319,471.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.