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Finding the Third Proportional to 153,318 and 333,636

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Solution

The third proportional to 153,318 and 333,636 is: 726,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,318 : 333,636 = 333,636 : x
  2. Step 2: Convert to fraction form
    153,318/333,636 = 333,636/x
  3. Step 3: Cross multiply
    153,318x = 333,636 × 333,636
  4. Step 4: Simplify right side
    153,318x = 111,312,980,496
  5. Step 5: Solve for x
    x = 111,312,980,496/153,318
  6. Step 6: Final answer
    x = 726,026.82

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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.