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Finding the Third Proportional to 153,512 and 333,652

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Solution

The third proportional to 153,512 and 333,652 is: 725,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,512 : 333,652 = 333,652 : x
  2. Step 2: Convert to fraction form
    153,512/333,652 = 333,652/x
  3. Step 3: Cross multiply
    153,512x = 333,652 × 333,652
  4. Step 4: Simplify right side
    153,512x = 111,323,657,104
  5. Step 5: Solve for x
    x = 111,323,657,104/153,512
  6. Step 6: Final answer
    x = 725,178.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.