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Finding the Third Proportional to 328,103 and 469,186

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Solution

The third proportional to 328,103 and 469,186 is: 670,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,103 : 469,186 = 469,186 : x
  2. Step 2: Convert to fraction form
    328,103/469,186 = 469,186/x
  3. Step 3: Cross multiply
    328,103x = 469,186 × 469,186
  4. Step 4: Simplify right side
    328,103x = 220,135,502,596
  5. Step 5: Solve for x
    x = 220,135,502,596/328,103
  6. Step 6: Final answer
    x = 670,934.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.