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Finding the Third Proportional to 115,456.50 and 183,983

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Solution

The third proportional to 115,456.50 and 183,983 is: 293,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,456.50 : 183,983 = 183,983 : x
  2. Step 2: Convert to fraction form
    115,456.50/183,983 = 183,983/x
  3. Step 3: Cross multiply
    115,456.50x = 183,983 × 183,983
  4. Step 4: Simplify right side
    115,456.50x = 33,849,744,289
  5. Step 5: Solve for x
    x = 33,849,744,289/115,456.50
  6. Step 6: Final answer
    x = 293,181.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.