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Finding the Third Proportional to 136,384 and 294,944

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Solution

The third proportional to 136,384 and 294,944 is: 637,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,384 : 294,944 = 294,944 : x
  2. Step 2: Convert to fraction form
    136,384/294,944 = 294,944/x
  3. Step 3: Cross multiply
    136,384x = 294,944 × 294,944
  4. Step 4: Simplify right side
    136,384x = 86,991,963,136
  5. Step 5: Solve for x
    x = 86,991,963,136/136,384
  6. Step 6: Final answer
    x = 637,845.81

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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.