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Finding the Third Proportional to 173,268 and 233,604

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Solution

The third proportional to 173,268 and 233,604 is: 314,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,268 : 233,604 = 233,604 : x
  2. Step 2: Convert to fraction form
    173,268/233,604 = 233,604/x
  3. Step 3: Cross multiply
    173,268x = 233,604 × 233,604
  4. Step 4: Simplify right side
    173,268x = 54,570,828,816
  5. Step 5: Solve for x
    x = 54,570,828,816/173,268
  6. Step 6: Final answer
    x = 314,950.42

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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.