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Finding the Third Proportional to 245,612 and 369,329

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Solution

The third proportional to 245,612 and 369,329 is: 555,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,612 : 369,329 = 369,329 : x
  2. Step 2: Convert to fraction form
    245,612/369,329 = 369,329/x
  3. Step 3: Cross multiply
    245,612x = 369,329 × 369,329
  4. Step 4: Simplify right side
    245,612x = 136,403,910,241
  5. Step 5: Solve for x
    x = 136,403,910,241/245,612
  6. Step 6: Final answer
    x = 555,363.38

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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.