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Finding the Third Proportional to 184,409 and 284,801.50

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Solution

The third proportional to 184,409 and 284,801.50 is: 439,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,409 : 284,801.50 = 284,801.50 : x
  2. Step 2: Convert to fraction form
    184,409/284,801.50 = 284,801.50/x
  3. Step 3: Cross multiply
    184,409x = 284,801.50 × 284,801.50
  4. Step 4: Simplify right side
    184,409x = 81,111,894,402.25
  5. Step 5: Solve for x
    x = 81,111,894,402.25/184,409
  6. Step 6: Final answer
    x = 439,847.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.