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Finding the Third Proportional to 242,818 and 367,613

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Solution

The third proportional to 242,818 and 367,613 is: 556,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,818 : 367,613 = 367,613 : x
  2. Step 2: Convert to fraction form
    242,818/367,613 = 367,613/x
  3. Step 3: Cross multiply
    242,818x = 367,613 × 367,613
  4. Step 4: Simplify right side
    242,818x = 135,139,317,769
  5. Step 5: Solve for x
    x = 135,139,317,769/242,818
  6. Step 6: Final answer
    x = 556,545.72

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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.