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Finding the Third Proportional to 178,501 and 371,797

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Solution

The third proportional to 178,501 and 371,797 is: 774,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,501 : 371,797 = 371,797 : x
  2. Step 2: Convert to fraction form
    178,501/371,797 = 371,797/x
  3. Step 3: Cross multiply
    178,501x = 371,797 × 371,797
  4. Step 4: Simplify right side
    178,501x = 138,233,009,209
  5. Step 5: Solve for x
    x = 138,233,009,209/178,501
  6. Step 6: Final answer
    x = 774,410.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.