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Finding the Third Proportional to 153,880 and 330,764

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Solution

The third proportional to 153,880 and 330,764 is: 710,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,880 : 330,764 = 330,764 : x
  2. Step 2: Convert to fraction form
    153,880/330,764 = 330,764/x
  3. Step 3: Cross multiply
    153,880x = 330,764 × 330,764
  4. Step 4: Simplify right side
    153,880x = 109,404,823,696
  5. Step 5: Solve for x
    x = 109,404,823,696/153,880
  6. Step 6: Final answer
    x = 710,974.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.