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Finding the Third Proportional to 184,407.75 and 278,302.50

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Solution

The third proportional to 184,407.75 and 278,302.50 is: 420,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,407.75 : 278,302.50 = 278,302.50 : x
  2. Step 2: Convert to fraction form
    184,407.75/278,302.50 = 278,302.50/x
  3. Step 3: Cross multiply
    184,407.75x = 278,302.50 × 278,302.50
  4. Step 4: Simplify right side
    184,407.75x = 77,452,281,506.25
  5. Step 5: Solve for x
    x = 77,452,281,506.25/184,407.75
  6. Step 6: Final answer
    x = 420,005.57

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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.