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Finding the Third Proportional to 238,714.04 and 361,155.78

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Solution

The third proportional to 238,714.04 and 361,155.78 is: 546,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,714.04 : 361,155.78 = 361,155.78 : x
  2. Step 2: Convert to fraction form
    238,714.04/361,155.78 = 361,155.78/x
  3. Step 3: Cross multiply
    238,714.04x = 361,155.78 × 361,155.78
  4. Step 4: Simplify right side
    238,714.04x = 130,433,500,093.75
  5. Step 5: Solve for x
    x = 130,433,500,093.75/238,714.04
  6. Step 6: Final answer
    x = 546,400.62

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