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Finding the Third Proportional to 249,934 and 356,204

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Solution

The third proportional to 249,934 and 356,204 is: 507,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,934 : 356,204 = 356,204 : x
  2. Step 2: Convert to fraction form
    249,934/356,204 = 356,204/x
  3. Step 3: Cross multiply
    249,934x = 356,204 × 356,204
  4. Step 4: Simplify right side
    249,934x = 126,881,289,616
  5. Step 5: Solve for x
    x = 126,881,289,616/249,934
  6. Step 6: Final answer
    x = 507,659.18

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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.