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Finding the Third Proportional to 172,919.25 and 233,133.75

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Solution

The third proportional to 172,919.25 and 233,133.75 is: 314,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,919.25 : 233,133.75 = 233,133.75 : x
  2. Step 2: Convert to fraction form
    172,919.25/233,133.75 = 233,133.75/x
  3. Step 3: Cross multiply
    172,919.25x = 233,133.75 × 233,133.75
  4. Step 4: Simplify right side
    172,919.25x = 54,351,345,389.06
  5. Step 5: Solve for x
    x = 54,351,345,389.06/172,919.25
  6. Step 6: Final answer
    x = 314,316.34

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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.