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Finding the Third Proportional to 218,276 and 328,226

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Solution

The third proportional to 218,276 and 328,226 is: 493,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,276 : 328,226 = 328,226 : x
  2. Step 2: Convert to fraction form
    218,276/328,226 = 328,226/x
  3. Step 3: Cross multiply
    218,276x = 328,226 × 328,226
  4. Step 4: Simplify right side
    218,276x = 107,732,307,076
  5. Step 5: Solve for x
    x = 107,732,307,076/218,276
  6. Step 6: Final answer
    x = 493,560.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.