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Finding the Third Proportional to 160,588.50 and 345,841.50

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Solution

The third proportional to 160,588.50 and 345,841.50 is: 744,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,588.50 : 345,841.50 = 345,841.50 : x
  2. Step 2: Convert to fraction form
    160,588.50/345,841.50 = 345,841.50/x
  3. Step 3: Cross multiply
    160,588.50x = 345,841.50 × 345,841.50
  4. Step 4: Simplify right side
    160,588.50x = 119,606,343,122.25
  5. Step 5: Solve for x
    x = 119,606,343,122.25/160,588.50
  6. Step 6: Final answer
    x = 744,800.18

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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.