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Finding the Third Proportional to 153,052 and 333,211

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Solution

The third proportional to 153,052 and 333,211 is: 725,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,052 : 333,211 = 333,211 : x
  2. Step 2: Convert to fraction form
    153,052/333,211 = 333,211/x
  3. Step 3: Cross multiply
    153,052x = 333,211 × 333,211
  4. Step 4: Simplify right side
    153,052x = 111,029,570,521
  5. Step 5: Solve for x
    x = 111,029,570,521/153,052
  6. Step 6: Final answer
    x = 725,436.91

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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.