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Finding the Third Proportional to 123,592 and 271,247

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Solution

The third proportional to 123,592 and 271,247 is: 595,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,592 : 271,247 = 271,247 : x
  2. Step 2: Convert to fraction form
    123,592/271,247 = 271,247/x
  3. Step 3: Cross multiply
    123,592x = 271,247 × 271,247
  4. Step 4: Simplify right side
    123,592x = 73,574,935,009
  5. Step 5: Solve for x
    x = 73,574,935,009/123,592
  6. Step 6: Final answer
    x = 595,305.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.