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Finding the Third Proportional to 84,240 and 181,536

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Solution

The third proportional to 84,240 and 181,536 is: 391,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,240 : 181,536 = 181,536 : x
  2. Step 2: Convert to fraction form
    84,240/181,536 = 181,536/x
  3. Step 3: Cross multiply
    84,240x = 181,536 × 181,536
  4. Step 4: Simplify right side
    84,240x = 32,955,319,296
  5. Step 5: Solve for x
    x = 32,955,319,296/84,240
  6. Step 6: Final answer
    x = 391,207.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.