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Finding the Third Proportional to 162,616.50 and 250,265.50

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Solution

The third proportional to 162,616.50 and 250,265.50 is: 385,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,616.50 : 250,265.50 = 250,265.50 : x
  2. Step 2: Convert to fraction form
    162,616.50/250,265.50 = 250,265.50/x
  3. Step 3: Cross multiply
    162,616.50x = 250,265.50 × 250,265.50
  4. Step 4: Simplify right side
    162,616.50x = 62,632,820,490.25
  5. Step 5: Solve for x
    x = 62,632,820,490.25/162,616.50
  6. Step 6: Final answer
    x = 385,156.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.