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Finding the Third Proportional to 243,092 and 384,615

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Solution

The third proportional to 243,092 and 384,615 is: 608,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,092 : 384,615 = 384,615 : x
  2. Step 2: Convert to fraction form
    243,092/384,615 = 384,615/x
  3. Step 3: Cross multiply
    243,092x = 384,615 × 384,615
  4. Step 4: Simplify right side
    243,092x = 147,928,698,225
  5. Step 5: Solve for x
    x = 147,928,698,225/243,092
  6. Step 6: Final answer
    x = 608,529.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.