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Finding the Third Proportional to 84,573 and 181,903.50

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Solution

The third proportional to 84,573 and 181,903.50 is: 391,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,573 : 181,903.50 = 181,903.50 : x
  2. Step 2: Convert to fraction form
    84,573/181,903.50 = 181,903.50/x
  3. Step 3: Cross multiply
    84,573x = 181,903.50 × 181,903.50
  4. Step 4: Simplify right side
    84,573x = 33,088,883,312.25
  5. Step 5: Solve for x
    x = 33,088,883,312.25/84,573
  6. Step 6: Final answer
    x = 391,246.42

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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.