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Finding the Third Proportional to 242,682 and 367,419

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Solution

The third proportional to 242,682 and 367,419 is: 556,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,682 : 367,419 = 367,419 : x
  2. Step 2: Convert to fraction form
    242,682/367,419 = 367,419/x
  3. Step 3: Cross multiply
    242,682x = 367,419 × 367,419
  4. Step 4: Simplify right side
    242,682x = 134,996,721,561
  5. Step 5: Solve for x
    x = 134,996,721,561/242,682
  6. Step 6: Final answer
    x = 556,270.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.