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Finding the Third Proportional to 130,793 and 291,196

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Solution

The third proportional to 130,793 and 291,196 is: 648,315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,793 : 291,196 = 291,196 : x
  2. Step 2: Convert to fraction form
    130,793/291,196 = 291,196/x
  3. Step 3: Cross multiply
    130,793x = 291,196 × 291,196
  4. Step 4: Simplify right side
    130,793x = 84,795,110,416
  5. Step 5: Solve for x
    x = 84,795,110,416/130,793
  6. Step 6: Final answer
    x = 648,315.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.