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Finding the Third Proportional to 136,158.75 and 299,196

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Solution

The third proportional to 136,158.75 and 299,196 is: 657,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,158.75 : 299,196 = 299,196 : x
  2. Step 2: Convert to fraction form
    136,158.75/299,196 = 299,196/x
  3. Step 3: Cross multiply
    136,158.75x = 299,196 × 299,196
  4. Step 4: Simplify right side
    136,158.75x = 89,518,246,416
  5. Step 5: Solve for x
    x = 89,518,246,416/136,158.75
  6. Step 6: Final answer
    x = 657,454.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.