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Finding the Third Proportional to 194,551.13 and 426,009

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Solution

The third proportional to 194,551.13 and 426,009 is: 932,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,551.13 : 426,009 = 426,009 : x
  2. Step 2: Convert to fraction form
    194,551.13/426,009 = 426,009/x
  3. Step 3: Cross multiply
    194,551.13x = 426,009 × 426,009
  4. Step 4: Simplify right side
    194,551.13x = 181,483,668,081
  5. Step 5: Solve for x
    x = 181,483,668,081/194,551.13
  6. Step 6: Final answer
    x = 932,832.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.