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Finding the Third Proportional to 118,784 and 247,362

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Solution

The third proportional to 118,784 and 247,362 is: 515,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,784 : 247,362 = 247,362 : x
  2. Step 2: Convert to fraction form
    118,784/247,362 = 247,362/x
  3. Step 3: Cross multiply
    118,784x = 247,362 × 247,362
  4. Step 4: Simplify right side
    118,784x = 61,187,959,044
  5. Step 5: Solve for x
    x = 61,187,959,044/118,784
  6. Step 6: Final answer
    x = 515,119.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.