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Finding the Third Proportional to 159,784 and 250,640

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Solution

The third proportional to 159,784 and 250,640 is: 393,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,784 : 250,640 = 250,640 : x
  2. Step 2: Convert to fraction form
    159,784/250,640 = 250,640/x
  3. Step 3: Cross multiply
    159,784x = 250,640 × 250,640
  4. Step 4: Simplify right side
    159,784x = 62,820,409,600
  5. Step 5: Solve for x
    x = 62,820,409,600/159,784
  6. Step 6: Final answer
    x = 393,158.32

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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.