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Finding the Third Proportional to 174,317 and 376,282

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Solution

The third proportional to 174,317 and 376,282 is: 812,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,317 : 376,282 = 376,282 : x
  2. Step 2: Convert to fraction form
    174,317/376,282 = 376,282/x
  3. Step 3: Cross multiply
    174,317x = 376,282 × 376,282
  4. Step 4: Simplify right side
    174,317x = 141,588,143,524
  5. Step 5: Solve for x
    x = 141,588,143,524/174,317
  6. Step 6: Final answer
    x = 812,245.18

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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.