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Finding the Third Proportional to 170,319 and 370,374

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Solution

The third proportional to 170,319 and 370,374 is: 805,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,319 : 370,374 = 370,374 : x
  2. Step 2: Convert to fraction form
    170,319/370,374 = 370,374/x
  3. Step 3: Cross multiply
    170,319x = 370,374 × 370,374
  4. Step 4: Simplify right side
    170,319x = 137,176,899,876
  5. Step 5: Solve for x
    x = 137,176,899,876/170,319
  6. Step 6: Final answer
    x = 805,411.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.