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Finding the Third Proportional to 188,462 and 291,442

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Solution

The third proportional to 188,462 and 291,442 is: 450,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,462 : 291,442 = 291,442 : x
  2. Step 2: Convert to fraction form
    188,462/291,442 = 291,442/x
  3. Step 3: Cross multiply
    188,462x = 291,442 × 291,442
  4. Step 4: Simplify right side
    188,462x = 84,938,439,364
  5. Step 5: Solve for x
    x = 84,938,439,364/188,462
  6. Step 6: Final answer
    x = 450,692.66

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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.