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Finding the Third Proportional to 242,501 and 367,105

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Solution

The third proportional to 242,501 and 367,105 is: 555,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,501 : 367,105 = 367,105 : x
  2. Step 2: Convert to fraction form
    242,501/367,105 = 367,105/x
  3. Step 3: Cross multiply
    242,501x = 367,105 × 367,105
  4. Step 4: Simplify right side
    242,501x = 134,766,081,025
  5. Step 5: Solve for x
    x = 134,766,081,025/242,501
  6. Step 6: Final answer
    x = 555,734.12

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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.