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Finding the Third Proportional to 94,979.50 and 223,471

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Solution

The third proportional to 94,979.50 and 223,471 is: 525,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,979.50 : 223,471 = 223,471 : x
  2. Step 2: Convert to fraction form
    94,979.50/223,471 = 223,471/x
  3. Step 3: Cross multiply
    94,979.50x = 223,471 × 223,471
  4. Step 4: Simplify right side
    94,979.50x = 49,939,287,841
  5. Step 5: Solve for x
    x = 49,939,287,841/94,979.50
  6. Step 6: Final answer
    x = 525,790.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.