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Finding the Third Proportional to 73,475 and 160,270

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Solution

The third proportional to 73,475 and 160,270 is: 349,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,475 : 160,270 = 160,270 : x
  2. Step 2: Convert to fraction form
    73,475/160,270 = 160,270/x
  3. Step 3: Cross multiply
    73,475x = 160,270 × 160,270
  4. Step 4: Simplify right side
    73,475x = 25,686,472,900
  5. Step 5: Solve for x
    x = 25,686,472,900/73,475
  6. Step 6: Final answer
    x = 349,594.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.