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Finding the Third Proportional to 86,854 and 190,334

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Solution

The third proportional to 86,854 and 190,334 is: 417,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,854 : 190,334 = 190,334 : x
  2. Step 2: Convert to fraction form
    86,854/190,334 = 190,334/x
  3. Step 3: Cross multiply
    86,854x = 190,334 × 190,334
  4. Step 4: Simplify right side
    86,854x = 36,227,031,556
  5. Step 5: Solve for x
    x = 36,227,031,556/86,854
  6. Step 6: Final answer
    x = 417,102.63

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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.