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Finding the Third Proportional to 235,049 and 342,727

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Solution

The third proportional to 235,049 and 342,727 is: 499,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,049 : 342,727 = 342,727 : x
  2. Step 2: Convert to fraction form
    235,049/342,727 = 342,727/x
  3. Step 3: Cross multiply
    235,049x = 342,727 × 342,727
  4. Step 4: Simplify right side
    235,049x = 117,461,796,529
  5. Step 5: Solve for x
    x = 117,461,796,529/235,049
  6. Step 6: Final answer
    x = 499,733.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.