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Finding the Third Proportional to 172,606 and 233,202

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Solution

The third proportional to 172,606 and 233,202 is: 315,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,606 : 233,202 = 233,202 : x
  2. Step 2: Convert to fraction form
    172,606/233,202 = 233,202/x
  3. Step 3: Cross multiply
    172,606x = 233,202 × 233,202
  4. Step 4: Simplify right side
    172,606x = 54,383,172,804
  5. Step 5: Solve for x
    x = 54,383,172,804/172,606
  6. Step 6: Final answer
    x = 315,071.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.