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Finding the Third Proportional to 160,568.50 and 345,801.50

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Solution

The third proportional to 160,568.50 and 345,801.50 is: 744,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,568.50 : 345,801.50 = 345,801.50 : x
  2. Step 2: Convert to fraction form
    160,568.50/345,801.50 = 345,801.50/x
  3. Step 3: Cross multiply
    160,568.50x = 345,801.50 × 345,801.50
  4. Step 4: Simplify right side
    160,568.50x = 119,578,677,402.25
  5. Step 5: Solve for x
    x = 119,578,677,402.25/160,568.50
  6. Step 6: Final answer
    x = 744,720.65

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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.