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Finding the Third Proportional to 114,326 and 247,732

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Solution

The third proportional to 114,326 and 247,732 is: 536,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,326 : 247,732 = 247,732 : x
  2. Step 2: Convert to fraction form
    114,326/247,732 = 247,732/x
  3. Step 3: Cross multiply
    114,326x = 247,732 × 247,732
  4. Step 4: Simplify right side
    114,326x = 61,371,143,824
  5. Step 5: Solve for x
    x = 61,371,143,824/114,326
  6. Step 6: Final answer
    x = 536,808.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.