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Finding the Third Proportional to 107,982 and 237,438

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Solution

The third proportional to 107,982 and 237,438 is: 522,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,982 : 237,438 = 237,438 : x
  2. Step 2: Convert to fraction form
    107,982/237,438 = 237,438/x
  3. Step 3: Cross multiply
    107,982x = 237,438 × 237,438
  4. Step 4: Simplify right side
    107,982x = 56,376,803,844
  5. Step 5: Solve for x
    x = 56,376,803,844/107,982
  6. Step 6: Final answer
    x = 522,094.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.