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Finding the Third Proportional to 159,985.13 and 345,627

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Solution

The third proportional to 159,985.13 and 345,627 is: 746,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,985.13 : 345,627 = 345,627 : x
  2. Step 2: Convert to fraction form
    159,985.13/345,627 = 345,627/x
  3. Step 3: Cross multiply
    159,985.13x = 345,627 × 345,627
  4. Step 4: Simplify right side
    159,985.13x = 119,458,023,129
  5. Step 5: Solve for x
    x = 119,458,023,129/159,985.13
  6. Step 6: Final answer
    x = 746,682.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.