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Finding the Third Proportional to 184,068 and 251,882.50

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Solution

The third proportional to 184,068 and 251,882.50 is: 344,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,068 : 251,882.50 = 251,882.50 : x
  2. Step 2: Convert to fraction form
    184,068/251,882.50 = 251,882.50/x
  3. Step 3: Cross multiply
    184,068x = 251,882.50 × 251,882.50
  4. Step 4: Simplify right side
    184,068x = 63,444,793,806.25
  5. Step 5: Solve for x
    x = 63,444,793,806.25/184,068
  6. Step 6: Final answer
    x = 344,681.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.