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Finding the Third Proportional to 141,260 and 304,926

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Solution

The third proportional to 141,260 and 304,926 is: 658,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,260 : 304,926 = 304,926 : x
  2. Step 2: Convert to fraction form
    141,260/304,926 = 304,926/x
  3. Step 3: Cross multiply
    141,260x = 304,926 × 304,926
  4. Step 4: Simplify right side
    141,260x = 92,979,865,476
  5. Step 5: Solve for x
    x = 92,979,865,476/141,260
  6. Step 6: Final answer
    x = 658,217.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.