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Finding the Third Proportional to 154,260 and 338,031

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Solution

The third proportional to 154,260 and 338,031 is: 740,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,260 : 338,031 = 338,031 : x
  2. Step 2: Convert to fraction form
    154,260/338,031 = 338,031/x
  3. Step 3: Cross multiply
    154,260x = 338,031 × 338,031
  4. Step 4: Simplify right side
    154,260x = 114,264,956,961
  5. Step 5: Solve for x
    x = 114,264,956,961/154,260
  6. Step 6: Final answer
    x = 740,729.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.