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Finding the Third Proportional to 230,882 and 346,329

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Solution

The third proportional to 230,882 and 346,329 is: 519,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,882 : 346,329 = 346,329 : x
  2. Step 2: Convert to fraction form
    230,882/346,329 = 346,329/x
  3. Step 3: Cross multiply
    230,882x = 346,329 × 346,329
  4. Step 4: Simplify right side
    230,882x = 119,943,776,241
  5. Step 5: Solve for x
    x = 119,943,776,241/230,882
  6. Step 6: Final answer
    x = 519,502.50

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Why These Related Problems?

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