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Finding the Third Proportional to 184,146 and 278,710.50

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Solution

The third proportional to 184,146 and 278,710.50 is: 421,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,146 : 278,710.50 = 278,710.50 : x
  2. Step 2: Convert to fraction form
    184,146/278,710.50 = 278,710.50/x
  3. Step 3: Cross multiply
    184,146x = 278,710.50 × 278,710.50
  4. Step 4: Simplify right side
    184,146x = 77,679,542,810.25
  5. Step 5: Solve for x
    x = 77,679,542,810.25/184,146
  6. Step 6: Final answer
    x = 421,836.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.