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Finding the Third Proportional to 218,095 and 328,235

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Solution

The third proportional to 218,095 and 328,235 is: 493,996.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,095 : 328,235 = 328,235 : x
  2. Step 2: Convert to fraction form
    218,095/328,235 = 328,235/x
  3. Step 3: Cross multiply
    218,095x = 328,235 × 328,235
  4. Step 4: Simplify right side
    218,095x = 107,738,215,225
  5. Step 5: Solve for x
    x = 107,738,215,225/218,095
  6. Step 6: Final answer
    x = 493,996.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.