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Finding the Third Proportional to 178,008 and 275,535

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Solution

The third proportional to 178,008 and 275,535 is: 426,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,008 : 275,535 = 275,535 : x
  2. Step 2: Convert to fraction form
    178,008/275,535 = 275,535/x
  3. Step 3: Cross multiply
    178,008x = 275,535 × 275,535
  4. Step 4: Simplify right side
    178,008x = 75,919,536,225
  5. Step 5: Solve for x
    x = 75,919,536,225/178,008
  6. Step 6: Final answer
    x = 426,495.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.