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Finding the Third Proportional to 178,810.03 and 268,218.84

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Solution

The third proportional to 178,810.03 and 268,218.84 is: 402,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,810.03 : 268,218.84 = 268,218.84 : x
  2. Step 2: Convert to fraction form
    178,810.03/268,218.84 = 268,218.84/x
  3. Step 3: Cross multiply
    178,810.03x = 268,218.84 × 268,218.84
  4. Step 4: Simplify right side
    178,810.03x = 71,941,348,142.59
  5. Step 5: Solve for x
    x = 71,941,348,142.59/178,810.03
  6. Step 6: Final answer
    x = 402,333.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.