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Finding the Third Proportional to 178,972 and 268,444

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Solution

The third proportional to 178,972 and 268,444 is: 402,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,972 : 268,444 = 268,444 : x
  2. Step 2: Convert to fraction form
    178,972/268,444 = 268,444/x
  3. Step 3: Cross multiply
    178,972x = 268,444 × 268,444
  4. Step 4: Simplify right side
    178,972x = 72,062,181,136
  5. Step 5: Solve for x
    x = 72,062,181,136/178,972
  6. Step 6: Final answer
    x = 402,645.00

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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.