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Finding the Third Proportional to 184,312.13 and 278,160.75

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Solution

The third proportional to 184,312.13 and 278,160.75 is: 419,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,312.13 : 278,160.75 = 278,160.75 : x
  2. Step 2: Convert to fraction form
    184,312.13/278,160.75 = 278,160.75/x
  3. Step 3: Cross multiply
    184,312.13x = 278,160.75 × 278,160.75
  4. Step 4: Simplify right side
    184,312.13x = 77,373,402,840.56
  5. Step 5: Solve for x
    x = 77,373,402,840.56/184,312.13
  6. Step 6: Final answer
    x = 419,795.51

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Why These Related Problems?

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