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Finding the Third Proportional to 184,881.38 and 292,502.81

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Solution

The third proportional to 184,881.38 and 292,502.81 is: 462,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,881.38 : 292,502.81 = 292,502.81 : x
  2. Step 2: Convert to fraction form
    184,881.38/292,502.81 = 292,502.81/x
  3. Step 3: Cross multiply
    184,881.38x = 292,502.81 × 292,502.81
  4. Step 4: Simplify right side
    184,881.38x = 85,557,895,320.41
  5. Step 5: Solve for x
    x = 85,557,895,320.41/184,881.38
  6. Step 6: Final answer
    x = 462,771.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.