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Finding the Third Proportional to 137,252.25 and 219,152.25

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Solution

The third proportional to 137,252.25 and 219,152.25 is: 349,922.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,252.25 : 219,152.25 = 219,152.25 : x
  2. Step 2: Convert to fraction form
    137,252.25/219,152.25 = 219,152.25/x
  3. Step 3: Cross multiply
    137,252.25x = 219,152.25 × 219,152.25
  4. Step 4: Simplify right side
    137,252.25x = 48,027,708,680.06
  5. Step 5: Solve for x
    x = 48,027,708,680.06/137,252.25
  6. Step 6: Final answer
    x = 349,922.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.