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Finding the Third Proportional to 158,576 and 217,454

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Solution

The third proportional to 158,576 and 217,454 is: 298,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,576 : 217,454 = 217,454 : x
  2. Step 2: Convert to fraction form
    158,576/217,454 = 217,454/x
  3. Step 3: Cross multiply
    158,576x = 217,454 × 217,454
  4. Step 4: Simplify right side
    158,576x = 47,286,242,116
  5. Step 5: Solve for x
    x = 47,286,242,116/158,576
  6. Step 6: Final answer
    x = 298,192.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.