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Finding the Third Proportional to 184,570 and 285,020

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Solution

The third proportional to 184,570 and 285,020 is: 440,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,570 : 285,020 = 285,020 : x
  2. Step 2: Convert to fraction form
    184,570/285,020 = 285,020/x
  3. Step 3: Cross multiply
    184,570x = 285,020 × 285,020
  4. Step 4: Simplify right side
    184,570x = 81,236,400,400
  5. Step 5: Solve for x
    x = 81,236,400,400/184,570
  6. Step 6: Final answer
    x = 440,138.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.