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Finding the Third Proportional to 172,922 and 233,134

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Solution

The third proportional to 172,922 and 233,134 is: 314,312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,922 : 233,134 = 233,134 : x
  2. Step 2: Convert to fraction form
    172,922/233,134 = 233,134/x
  3. Step 3: Cross multiply
    172,922x = 233,134 × 233,134
  4. Step 4: Simplify right side
    172,922x = 54,351,461,956
  5. Step 5: Solve for x
    x = 54,351,461,956/172,922
  6. Step 6: Final answer
    x = 314,312.01

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