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Finding the Third Proportional to 157,834.50 and 236,083.50

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Solution

The third proportional to 157,834.50 and 236,083.50 is: 353,125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,834.50 : 236,083.50 = 236,083.50 : x
  2. Step 2: Convert to fraction form
    157,834.50/236,083.50 = 236,083.50/x
  3. Step 3: Cross multiply
    157,834.50x = 236,083.50 × 236,083.50
  4. Step 4: Simplify right side
    157,834.50x = 55,735,418,972.25
  5. Step 5: Solve for x
    x = 55,735,418,972.25/157,834.50
  6. Step 6: Final answer
    x = 353,125.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.