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Finding the Third Proportional to 152,268 and 350,943

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Solution

The third proportional to 152,268 and 350,943 is: 808,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,268 : 350,943 = 350,943 : x
  2. Step 2: Convert to fraction form
    152,268/350,943 = 350,943/x
  3. Step 3: Cross multiply
    152,268x = 350,943 × 350,943
  4. Step 4: Simplify right side
    152,268x = 123,160,989,249
  5. Step 5: Solve for x
    x = 123,160,989,249/152,268
  6. Step 6: Final answer
    x = 808,843.55

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.