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Finding the Third Proportional to 137,295 and 202,257

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Solution

The third proportional to 137,295 and 202,257 is: 297,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,295 : 202,257 = 202,257 : x
  2. Step 2: Convert to fraction form
    137,295/202,257 = 202,257/x
  3. Step 3: Cross multiply
    137,295x = 202,257 × 202,257
  4. Step 4: Simplify right side
    137,295x = 40,907,894,049
  5. Step 5: Solve for x
    x = 40,907,894,049/137,295
  6. Step 6: Final answer
    x = 297,956.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.