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Finding the Third Proportional to 177,290 and 379,492

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Solution

The third proportional to 177,290 and 379,492 is: 812,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,290 : 379,492 = 379,492 : x
  2. Step 2: Convert to fraction form
    177,290/379,492 = 379,492/x
  3. Step 3: Cross multiply
    177,290x = 379,492 × 379,492
  4. Step 4: Simplify right side
    177,290x = 144,014,178,064
  5. Step 5: Solve for x
    x = 144,014,178,064/177,290
  6. Step 6: Final answer
    x = 812,308.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.