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Finding the Third Proportional to 123,336 and 184,700.25

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Solution

The third proportional to 123,336 and 184,700.25 is: 276,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,336 : 184,700.25 = 184,700.25 : x
  2. Step 2: Convert to fraction form
    123,336/184,700.25 = 184,700.25/x
  3. Step 3: Cross multiply
    123,336x = 184,700.25 × 184,700.25
  4. Step 4: Simplify right side
    123,336x = 34,114,182,350.06
  5. Step 5: Solve for x
    x = 34,114,182,350.06/123,336
  6. Step 6: Final answer
    x = 276,595.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.