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Finding the Third Proportional to 189,508.88 and 414,625.13

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Solution

The third proportional to 189,508.88 and 414,625.13 is: 907,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,508.88 : 414,625.13 = 414,625.13 : x
  2. Step 2: Convert to fraction form
    189,508.88/414,625.13 = 414,625.13/x
  3. Step 3: Cross multiply
    189,508.88x = 414,625.13 × 414,625.13
  4. Step 4: Simplify right side
    189,508.88x = 171,913,994,281.27
  5. Step 5: Solve for x
    x = 171,913,994,281.27/189,508.88
  6. Step 6: Final answer
    x = 907,155.37

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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.