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Finding the Third Proportional to 84,697 and 178,789

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Solution

The third proportional to 84,697 and 178,789 is: 377,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,697 : 178,789 = 178,789 : x
  2. Step 2: Convert to fraction form
    84,697/178,789 = 178,789/x
  3. Step 3: Cross multiply
    84,697x = 178,789 × 178,789
  4. Step 4: Simplify right side
    84,697x = 31,965,506,521
  5. Step 5: Solve for x
    x = 31,965,506,521/84,697
  6. Step 6: Final answer
    x = 377,410.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.