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Finding the Third Proportional to 177,818 and 387,590

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Solution

The third proportional to 177,818 and 387,590 is: 844,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,818 : 387,590 = 387,590 : x
  2. Step 2: Convert to fraction form
    177,818/387,590 = 387,590/x
  3. Step 3: Cross multiply
    177,818x = 387,590 × 387,590
  4. Step 4: Simplify right side
    177,818x = 150,226,008,100
  5. Step 5: Solve for x
    x = 150,226,008,100/177,818
  6. Step 6: Final answer
    x = 844,830.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.