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Finding the Third Proportional to 77,658 and 160,270

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Solution

The third proportional to 77,658 and 160,270 is: 330,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,658 : 160,270 = 160,270 : x
  2. Step 2: Convert to fraction form
    77,658/160,270 = 160,270/x
  3. Step 3: Cross multiply
    77,658x = 160,270 × 160,270
  4. Step 4: Simplify right side
    77,658x = 25,686,472,900
  5. Step 5: Solve for x
    x = 25,686,472,900/77,658
  6. Step 6: Final answer
    x = 330,764.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.