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Finding the Third Proportional to 189,412 and 287,574

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Solution

The third proportional to 189,412 and 287,574 is: 436,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,412 : 287,574 = 287,574 : x
  2. Step 2: Convert to fraction form
    189,412/287,574 = 287,574/x
  3. Step 3: Cross multiply
    189,412x = 287,574 × 287,574
  4. Step 4: Simplify right side
    189,412x = 82,698,805,476
  5. Step 5: Solve for x
    x = 82,698,805,476/189,412
  6. Step 6: Final answer
    x = 436,608.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.