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Finding the Third Proportional to 160,605.50 and 345,877

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Solution

The third proportional to 160,605.50 and 345,877 is: 744,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,605.50 : 345,877 = 345,877 : x
  2. Step 2: Convert to fraction form
    160,605.50/345,877 = 345,877/x
  3. Step 3: Cross multiply
    160,605.50x = 345,877 × 345,877
  4. Step 4: Simplify right side
    160,605.50x = 119,630,899,129
  5. Step 5: Solve for x
    x = 119,630,899,129/160,605.50
  6. Step 6: Final answer
    x = 744,874.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.