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Finding the Third Proportional to 177,232 and 382,292

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Solution

The third proportional to 177,232 and 382,292 is: 824,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,232 : 382,292 = 382,292 : x
  2. Step 2: Convert to fraction form
    177,232/382,292 = 382,292/x
  3. Step 3: Cross multiply
    177,232x = 382,292 × 382,292
  4. Step 4: Simplify right side
    177,232x = 146,147,173,264
  5. Step 5: Solve for x
    x = 146,147,173,264/177,232
  6. Step 6: Final answer
    x = 824,609.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.