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Finding the Third Proportional to 237,926 and 350,312

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Solution

The third proportional to 237,926 and 350,312 is: 515,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,926 : 350,312 = 350,312 : x
  2. Step 2: Convert to fraction form
    237,926/350,312 = 350,312/x
  3. Step 3: Cross multiply
    237,926x = 350,312 × 350,312
  4. Step 4: Simplify right side
    237,926x = 122,718,497,344
  5. Step 5: Solve for x
    x = 122,718,497,344/237,926
  6. Step 6: Final answer
    x = 515,784.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.