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Finding the Third Proportional to 86,984 and 185,358

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Solution

The third proportional to 86,984 and 185,358 is: 394,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,984 : 185,358 = 185,358 : x
  2. Step 2: Convert to fraction form
    86,984/185,358 = 185,358/x
  3. Step 3: Cross multiply
    86,984x = 185,358 × 185,358
  4. Step 4: Simplify right side
    86,984x = 34,357,588,164
  5. Step 5: Solve for x
    x = 34,357,588,164/86,984
  6. Step 6: Final answer
    x = 394,987.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.