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Finding the Third Proportional to 85,232 and 185,336

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Solution

The third proportional to 85,232 and 185,336 is: 403,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,232 : 185,336 = 185,336 : x
  2. Step 2: Convert to fraction form
    85,232/185,336 = 185,336/x
  3. Step 3: Cross multiply
    85,232x = 185,336 × 185,336
  4. Step 4: Simplify right side
    85,232x = 34,349,432,896
  5. Step 5: Solve for x
    x = 34,349,432,896/85,232
  6. Step 6: Final answer
    x = 403,010.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.