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Finding the Third Proportional to 162,850.50 and 251,657.72

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Solution

The third proportional to 162,850.50 and 251,657.72 is: 388,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,850.50 : 251,657.72 = 251,657.72 : x
  2. Step 2: Convert to fraction form
    162,850.50/251,657.72 = 251,657.72/x
  3. Step 3: Cross multiply
    162,850.50x = 251,657.72 × 251,657.72
  4. Step 4: Simplify right side
    162,850.50x = 63,331,607,406.45
  5. Step 5: Solve for x
    x = 63,331,607,406.45/162,850.50
  6. Step 6: Final answer
    x = 388,894.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.