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Finding the Third Proportional to 162,202.50 and 255,696.75

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Solution

The third proportional to 162,202.50 and 255,696.75 is: 403,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,202.50 : 255,696.75 = 255,696.75 : x
  2. Step 2: Convert to fraction form
    162,202.50/255,696.75 = 255,696.75/x
  3. Step 3: Cross multiply
    162,202.50x = 255,696.75 × 255,696.75
  4. Step 4: Simplify right side
    162,202.50x = 65,380,827,960.56
  5. Step 5: Solve for x
    x = 65,380,827,960.56/162,202.50
  6. Step 6: Final answer
    x = 403,081.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.