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Finding the Third Proportional to 178,565.50 and 270,152.50

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Solution

The third proportional to 178,565.50 and 270,152.50 is: 408,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,565.50 : 270,152.50 = 270,152.50 : x
  2. Step 2: Convert to fraction form
    178,565.50/270,152.50 = 270,152.50/x
  3. Step 3: Cross multiply
    178,565.50x = 270,152.50 × 270,152.50
  4. Step 4: Simplify right side
    178,565.50x = 72,982,373,256.25
  5. Step 5: Solve for x
    x = 72,982,373,256.25/178,565.50
  6. Step 6: Final answer
    x = 408,714.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.