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Finding the Third Proportional to 242,800 and 367,586

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Solution

The third proportional to 242,800 and 367,586 is: 556,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,800 : 367,586 = 367,586 : x
  2. Step 2: Convert to fraction form
    242,800/367,586 = 367,586/x
  3. Step 3: Cross multiply
    242,800x = 367,586 × 367,586
  4. Step 4: Simplify right side
    242,800x = 135,119,467,396
  5. Step 5: Solve for x
    x = 135,119,467,396/242,800
  6. Step 6: Final answer
    x = 556,505.22

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