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Finding the Third Proportional to 152,944 and 333,536

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Solution

The third proportional to 152,944 and 333,536 is: 727,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,944 : 333,536 = 333,536 : x
  2. Step 2: Convert to fraction form
    152,944/333,536 = 333,536/x
  3. Step 3: Cross multiply
    152,944x = 333,536 × 333,536
  4. Step 4: Simplify right side
    152,944x = 111,246,263,296
  5. Step 5: Solve for x
    x = 111,246,263,296/152,944
  6. Step 6: Final answer
    x = 727,365.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.