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Finding the Third Proportional to 190,311.75 and 413,425.13

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Solution

The third proportional to 190,311.75 and 413,425.13 is: 898,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,311.75 : 413,425.13 = 413,425.13 : x
  2. Step 2: Convert to fraction form
    190,311.75/413,425.13 = 413,425.13/x
  3. Step 3: Cross multiply
    190,311.75x = 413,425.13 × 413,425.13
  4. Step 4: Simplify right side
    190,311.75x = 170,920,333,981.27
  5. Step 5: Solve for x
    x = 170,920,333,981.27/190,311.75
  6. Step 6: Final answer
    x = 898,107.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.