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Finding the Third Proportional to 130,797 and 202,486.50

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Solution

The third proportional to 130,797 and 202,486.50 is: 313,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,797 : 202,486.50 = 202,486.50 : x
  2. Step 2: Convert to fraction form
    130,797/202,486.50 = 202,486.50/x
  3. Step 3: Cross multiply
    130,797x = 202,486.50 × 202,486.50
  4. Step 4: Simplify right side
    130,797x = 41,000,782,682.25
  5. Step 5: Solve for x
    x = 41,000,782,682.25/130,797
  6. Step 6: Final answer
    x = 313,468.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.