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Finding the Third Proportional to 84,703.50 and 181,299

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Solution

The third proportional to 84,703.50 and 181,299 is: 388,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,703.50 : 181,299 = 181,299 : x
  2. Step 2: Convert to fraction form
    84,703.50/181,299 = 181,299/x
  3. Step 3: Cross multiply
    84,703.50x = 181,299 × 181,299
  4. Step 4: Simplify right side
    84,703.50x = 32,869,327,401
  5. Step 5: Solve for x
    x = 32,869,327,401/84,703.50
  6. Step 6: Final answer
    x = 388,051.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.