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Finding the Third Proportional to 194,005.13 and 422,182.13

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Solution

The third proportional to 194,005.13 and 422,182.13 is: 918,727.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,005.13 : 422,182.13 = 422,182.13 : x
  2. Step 2: Convert to fraction form
    194,005.13/422,182.13 = 422,182.13/x
  3. Step 3: Cross multiply
    194,005.13x = 422,182.13 × 422,182.13
  4. Step 4: Simplify right side
    194,005.13x = 178,237,746,669.52
  5. Step 5: Solve for x
    x = 178,237,746,669.52/194,005.13
  6. Step 6: Final answer
    x = 918,727.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.