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Finding the Third Proportional to 140,506.88 and 214,279.88

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Solution

The third proportional to 140,506.88 and 214,279.88 is: 326,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,506.88 : 214,279.88 = 214,279.88 : x
  2. Step 2: Convert to fraction form
    140,506.88/214,279.88 = 214,279.88/x
  3. Step 3: Cross multiply
    140,506.88x = 214,279.88 × 214,279.88
  4. Step 4: Simplify right side
    140,506.88x = 45,915,864,830.02
  5. Step 5: Solve for x
    x = 45,915,864,830.02/140,506.88
  6. Step 6: Final answer
    x = 326,787.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.