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Finding the Third Proportional to 237,924 and 350,316

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Solution

The third proportional to 237,924 and 350,316 is: 515,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,924 : 350,316 = 350,316 : x
  2. Step 2: Convert to fraction form
    237,924/350,316 = 350,316/x
  3. Step 3: Cross multiply
    237,924x = 350,316 × 350,316
  4. Step 4: Simplify right side
    237,924x = 122,721,299,856
  5. Step 5: Solve for x
    x = 122,721,299,856/237,924
  6. Step 6: Final answer
    x = 515,800.42

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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.