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Finding the Third Proportional to 136,738 and 295,384.75

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Solution

The third proportional to 136,738 and 295,384.75 is: 638,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,738 : 295,384.75 = 295,384.75 : x
  2. Step 2: Convert to fraction form
    136,738/295,384.75 = 295,384.75/x
  3. Step 3: Cross multiply
    136,738x = 295,384.75 × 295,384.75
  4. Step 4: Simplify right side
    136,738x = 87,252,150,532.56
  5. Step 5: Solve for x
    x = 87,252,150,532.56/136,738
  6. Step 6: Final answer
    x = 638,097.31

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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.