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Finding the Third Proportional to 136,946 and 296,356

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Solution

The third proportional to 136,946 and 296,356 is: 641,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,946 : 296,356 = 296,356 : x
  2. Step 2: Convert to fraction form
    136,946/296,356 = 296,356/x
  3. Step 3: Cross multiply
    136,946x = 296,356 × 296,356
  4. Step 4: Simplify right side
    136,946x = 87,826,878,736
  5. Step 5: Solve for x
    x = 87,826,878,736/136,946
  6. Step 6: Final answer
    x = 641,324.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.