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Finding the Third Proportional to 160,717.50 and 349,083

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Solution

The third proportional to 160,717.50 and 349,083 is: 758,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,717.50 : 349,083 = 349,083 : x
  2. Step 2: Convert to fraction form
    160,717.50/349,083 = 349,083/x
  3. Step 3: Cross multiply
    160,717.50x = 349,083 × 349,083
  4. Step 4: Simplify right side
    160,717.50x = 121,858,940,889
  5. Step 5: Solve for x
    x = 121,858,940,889/160,717.50
  6. Step 6: Final answer
    x = 758,218.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.