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Finding the Third Proportional to 152,080 and 330,917

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Solution

The third proportional to 152,080 and 330,917 is: 720,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,080 : 330,917 = 330,917 : x
  2. Step 2: Convert to fraction form
    152,080/330,917 = 330,917/x
  3. Step 3: Cross multiply
    152,080x = 330,917 × 330,917
  4. Step 4: Simplify right side
    152,080x = 109,506,060,889
  5. Step 5: Solve for x
    x = 109,506,060,889/152,080
  6. Step 6: Final answer
    x = 720,055.63

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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.