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Finding the Third Proportional to 162,498 and 251,122.50

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Solution

The third proportional to 162,498 and 251,122.50 is: 388,081.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,498 : 251,122.50 = 251,122.50 : x
  2. Step 2: Convert to fraction form
    162,498/251,122.50 = 251,122.50/x
  3. Step 3: Cross multiply
    162,498x = 251,122.50 × 251,122.50
  4. Step 4: Simplify right side
    162,498x = 63,062,510,006.25
  5. Step 5: Solve for x
    x = 63,062,510,006.25/162,498
  6. Step 6: Final answer
    x = 388,081.76

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