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Finding the Third Proportional to 242,818 and 367,615

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Solution

The third proportional to 242,818 and 367,615 is: 556,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,818 : 367,615 = 367,615 : x
  2. Step 2: Convert to fraction form
    242,818/367,615 = 367,615/x
  3. Step 3: Cross multiply
    242,818x = 367,615 × 367,615
  4. Step 4: Simplify right side
    242,818x = 135,140,788,225
  5. Step 5: Solve for x
    x = 135,140,788,225/242,818
  6. Step 6: Final answer
    x = 556,551.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.