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Finding the Third Proportional to 137,216 and 296,302

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Solution

The third proportional to 137,216 and 296,302 is: 639,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,216 : 296,302 = 296,302 : x
  2. Step 2: Convert to fraction form
    137,216/296,302 = 296,302/x
  3. Step 3: Cross multiply
    137,216x = 296,302 × 296,302
  4. Step 4: Simplify right side
    137,216x = 87,794,875,204
  5. Step 5: Solve for x
    x = 87,794,875,204/137,216
  6. Step 6: Final answer
    x = 639,829.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.