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Finding the Third Proportional to 237,913 and 350,294

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Solution

The third proportional to 237,913 and 350,294 is: 515,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,913 : 350,294 = 350,294 : x
  2. Step 2: Convert to fraction form
    237,913/350,294 = 350,294/x
  3. Step 3: Cross multiply
    237,913x = 350,294 × 350,294
  4. Step 4: Simplify right side
    237,913x = 122,705,886,436
  5. Step 5: Solve for x
    x = 122,705,886,436/237,913
  6. Step 6: Final answer
    x = 515,759.49

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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.