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Finding the Third Proportional to 159,785 and 250,641.50

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Solution

The third proportional to 159,785 and 250,641.50 is: 393,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,785 : 250,641.50 = 250,641.50 : x
  2. Step 2: Convert to fraction form
    159,785/250,641.50 = 250,641.50/x
  3. Step 3: Cross multiply
    159,785x = 250,641.50 × 250,641.50
  4. Step 4: Simplify right side
    159,785x = 62,821,161,522.25
  5. Step 5: Solve for x
    x = 62,821,161,522.25/159,785
  6. Step 6: Final answer
    x = 393,160.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.