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Finding the Third Proportional to 184,192.31 and 275,151.94

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Solution

The third proportional to 184,192.31 and 275,151.94 is: 411,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,192.31 : 275,151.94 = 275,151.94 : x
  2. Step 2: Convert to fraction form
    184,192.31/275,151.94 = 275,151.94/x
  3. Step 3: Cross multiply
    184,192.31x = 275,151.94 × 275,151.94
  4. Step 4: Simplify right side
    184,192.31x = 75,708,588,710.00
  5. Step 5: Solve for x
    x = 75,708,588,710.00/184,192.31
  6. Step 6: Final answer
    x = 411,030.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.