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Finding the Third Proportional to 189,416 and 287,580

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Solution

The third proportional to 189,416 and 287,580 is: 436,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,416 : 287,580 = 287,580 : x
  2. Step 2: Convert to fraction form
    189,416/287,580 = 287,580/x
  3. Step 3: Cross multiply
    189,416x = 287,580 × 287,580
  4. Step 4: Simplify right side
    189,416x = 82,702,256,400
  5. Step 5: Solve for x
    x = 82,702,256,400/189,416
  6. Step 6: Final answer
    x = 436,617.06

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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.