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Finding the Third Proportional to 160,131 and 348,450

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Solution

The third proportional to 160,131 and 348,450 is: 758,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,131 : 348,450 = 348,450 : x
  2. Step 2: Convert to fraction form
    160,131/348,450 = 348,450/x
  3. Step 3: Cross multiply
    160,131x = 348,450 × 348,450
  4. Step 4: Simplify right side
    160,131x = 121,417,402,500
  5. Step 5: Solve for x
    x = 121,417,402,500/160,131
  6. Step 6: Final answer
    x = 758,237.96

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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.