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Finding the Third Proportional to 160,315 and 342,850

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Solution

The third proportional to 160,315 and 342,850 is: 733,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,315 : 342,850 = 342,850 : x
  2. Step 2: Convert to fraction form
    160,315/342,850 = 342,850/x
  3. Step 3: Cross multiply
    160,315x = 342,850 × 342,850
  4. Step 4: Simplify right side
    160,315x = 117,546,122,500
  5. Step 5: Solve for x
    x = 117,546,122,500/160,315
  6. Step 6: Final answer
    x = 733,219.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.