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Finding the Third Proportional to 136,904 and 299,575.50

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Solution

The third proportional to 136,904 and 299,575.50 is: 655,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,904 : 299,575.50 = 299,575.50 : x
  2. Step 2: Convert to fraction form
    136,904/299,575.50 = 299,575.50/x
  3. Step 3: Cross multiply
    136,904x = 299,575.50 × 299,575.50
  4. Step 4: Simplify right side
    136,904x = 89,745,480,200.25
  5. Step 5: Solve for x
    x = 89,745,480,200.25/136,904
  6. Step 6: Final answer
    x = 655,535.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.