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Finding the Third Proportional to 171,411.19 and 370,266.19

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Solution

The third proportional to 171,411.19 and 370,266.19 is: 799,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,411.19 : 370,266.19 = 370,266.19 : x
  2. Step 2: Convert to fraction form
    171,411.19/370,266.19 = 370,266.19/x
  3. Step 3: Cross multiply
    171,411.19x = 370,266.19 × 370,266.19
  4. Step 4: Simplify right side
    171,411.19x = 137,097,049,605.79
  5. Step 5: Solve for x
    x = 137,097,049,605.79/171,411.19
  6. Step 6: Final answer
    x = 799,813.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.