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Finding the Third Proportional to 185,635.13 and 289,540.13

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Solution

The third proportional to 185,635.13 and 289,540.13 is: 451,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,635.13 : 289,540.13 = 289,540.13 : x
  2. Step 2: Convert to fraction form
    185,635.13/289,540.13 = 289,540.13/x
  3. Step 3: Cross multiply
    185,635.13x = 289,540.13 × 289,540.13
  4. Step 4: Simplify right side
    185,635.13x = 83,833,483,985.02
  5. Step 5: Solve for x
    x = 83,833,483,985.02/185,635.13
  6. Step 6: Final answer
    x = 451,603.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.