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Finding the Third Proportional to 194,551.50 and 426,009.75

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Solution

The third proportional to 194,551.50 and 426,009.75 is: 932,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,551.50 : 426,009.75 = 426,009.75 : x
  2. Step 2: Convert to fraction form
    194,551.50/426,009.75 = 426,009.75/x
  3. Step 3: Cross multiply
    194,551.50x = 426,009.75 × 426,009.75
  4. Step 4: Simplify right side
    194,551.50x = 181,484,307,095.06
  5. Step 5: Solve for x
    x = 181,484,307,095.06/194,551.50
  6. Step 6: Final answer
    x = 932,834.27

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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.