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Finding the Third Proportional to 177,389 and 282,397

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Solution

The third proportional to 177,389 and 282,397 is: 449,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,389 : 282,397 = 282,397 : x
  2. Step 2: Convert to fraction form
    177,389/282,397 = 282,397/x
  3. Step 3: Cross multiply
    177,389x = 282,397 × 282,397
  4. Step 4: Simplify right side
    177,389x = 79,748,065,609
  5. Step 5: Solve for x
    x = 79,748,065,609/177,389
  6. Step 6: Final answer
    x = 449,566.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.