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Finding the Third Proportional to 189,675 and 293,673

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Solution

The third proportional to 189,675 and 293,673 is: 454,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,675 : 293,673 = 293,673 : x
  2. Step 2: Convert to fraction form
    189,675/293,673 = 293,673/x
  3. Step 3: Cross multiply
    189,675x = 293,673 × 293,673
  4. Step 4: Simplify right side
    189,675x = 86,243,830,929
  5. Step 5: Solve for x
    x = 86,243,830,929/189,675
  6. Step 6: Final answer
    x = 454,692.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.