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Finding the Third Proportional to 184,862.25 and 285,130.13

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Solution

The third proportional to 184,862.25 and 285,130.13 is: 439,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,862.25 : 285,130.13 = 285,130.13 : x
  2. Step 2: Convert to fraction form
    184,862.25/285,130.13 = 285,130.13/x
  3. Step 3: Cross multiply
    184,862.25x = 285,130.13 × 285,130.13
  4. Step 4: Simplify right side
    184,862.25x = 81,299,188,182.52
  5. Step 5: Solve for x
    x = 81,299,188,182.52/184,862.25
  6. Step 6: Final answer
    x = 439,782.53

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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.