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Finding the Third Proportional to 86,550 and 195,323

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Solution

The third proportional to 86,550 and 195,323 is: 440,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,550 : 195,323 = 195,323 : x
  2. Step 2: Convert to fraction form
    86,550/195,323 = 195,323/x
  3. Step 3: Cross multiply
    86,550x = 195,323 × 195,323
  4. Step 4: Simplify right side
    86,550x = 38,151,074,329
  5. Step 5: Solve for x
    x = 38,151,074,329/86,550
  6. Step 6: Final answer
    x = 440,798.09

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.