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Finding the Third Proportional to 77,798 and 166,666

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Solution

The third proportional to 77,798 and 166,666 is: 357,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,798 : 166,666 = 166,666 : x
  2. Step 2: Convert to fraction form
    77,798/166,666 = 166,666/x
  3. Step 3: Cross multiply
    77,798x = 166,666 × 166,666
  4. Step 4: Simplify right side
    77,798x = 27,777,555,556
  5. Step 5: Solve for x
    x = 27,777,555,556/77,798
  6. Step 6: Final answer
    x = 357,047.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.