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Finding the Third Proportional to 217,392 and 336,000

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Solution

The third proportional to 217,392 and 336,000 is: 519,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,392 : 336,000 = 336,000 : x
  2. Step 2: Convert to fraction form
    217,392/336,000 = 336,000/x
  3. Step 3: Cross multiply
    217,392x = 336,000 × 336,000
  4. Step 4: Simplify right side
    217,392x = 112,896,000,000
  5. Step 5: Solve for x
    x = 112,896,000,000/217,392
  6. Step 6: Final answer
    x = 519,319.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.