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Finding the Third Proportional to 170,332 and 358,302

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Solution

The third proportional to 170,332 and 358,302 is: 753,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,332 : 358,302 = 358,302 : x
  2. Step 2: Convert to fraction form
    170,332/358,302 = 358,302/x
  3. Step 3: Cross multiply
    170,332x = 358,302 × 358,302
  4. Step 4: Simplify right side
    170,332x = 128,380,323,204
  5. Step 5: Solve for x
    x = 128,380,323,204/170,332
  6. Step 6: Final answer
    x = 753,706.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.