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Finding the Third Proportional to 177,327 and 259,389

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Solution

The third proportional to 177,327 and 259,389 is: 379,427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,327 : 259,389 = 259,389 : x
  2. Step 2: Convert to fraction form
    177,327/259,389 = 259,389/x
  3. Step 3: Cross multiply
    177,327x = 259,389 × 259,389
  4. Step 4: Simplify right side
    177,327x = 67,282,653,321
  5. Step 5: Solve for x
    x = 67,282,653,321/177,327
  6. Step 6: Final answer
    x = 379,427.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.