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Finding the Third Proportional to 249,134 and 385,941

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Solution

The third proportional to 249,134 and 385,941 is: 597,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,134 : 385,941 = 385,941 : x
  2. Step 2: Convert to fraction form
    249,134/385,941 = 385,941/x
  3. Step 3: Cross multiply
    249,134x = 385,941 × 385,941
  4. Step 4: Simplify right side
    249,134x = 148,950,455,481
  5. Step 5: Solve for x
    x = 148,950,455,481/249,134
  6. Step 6: Final answer
    x = 597,872.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.