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Finding the Third Proportional to 160,888 and 350,320

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Solution

The third proportional to 160,888 and 350,320 is: 762,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,888 : 350,320 = 350,320 : x
  2. Step 2: Convert to fraction form
    160,888/350,320 = 350,320/x
  3. Step 3: Cross multiply
    160,888x = 350,320 × 350,320
  4. Step 4: Simplify right side
    160,888x = 122,724,102,400
  5. Step 5: Solve for x
    x = 122,724,102,400/160,888
  6. Step 6: Final answer
    x = 762,792.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.