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Finding the Third Proportional to 136,395 and 291,747

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Solution

The third proportional to 136,395 and 291,747 is: 624,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,395 : 291,747 = 291,747 : x
  2. Step 2: Convert to fraction form
    136,395/291,747 = 291,747/x
  3. Step 3: Cross multiply
    136,395x = 291,747 × 291,747
  4. Step 4: Simplify right side
    136,395x = 85,116,312,009
  5. Step 5: Solve for x
    x = 85,116,312,009/136,395
  6. Step 6: Final answer
    x = 624,042.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.