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Finding the Third Proportional to 189,752 and 407,643

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Solution

The third proportional to 189,752 and 407,643 is: 875,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,752 : 407,643 = 407,643 : x
  2. Step 2: Convert to fraction form
    189,752/407,643 = 407,643/x
  3. Step 3: Cross multiply
    189,752x = 407,643 × 407,643
  4. Step 4: Simplify right side
    189,752x = 166,172,815,449
  5. Step 5: Solve for x
    x = 166,172,815,449/189,752
  6. Step 6: Final answer
    x = 875,736.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.