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Finding the Third Proportional to 170,906 and 265,314

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Solution

The third proportional to 170,906 and 265,314 is: 411,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,906 : 265,314 = 265,314 : x
  2. Step 2: Convert to fraction form
    170,906/265,314 = 265,314/x
  3. Step 3: Cross multiply
    170,906x = 265,314 × 265,314
  4. Step 4: Simplify right side
    170,906x = 70,391,518,596
  5. Step 5: Solve for x
    x = 70,391,518,596/170,906
  6. Step 6: Final answer
    x = 411,872.72

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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.