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Finding the Third Proportional to 154,249 and 233,316

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Solution

The third proportional to 154,249 and 233,316 is: 352,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,249 : 233,316 = 233,316 : x
  2. Step 2: Convert to fraction form
    154,249/233,316 = 233,316/x
  3. Step 3: Cross multiply
    154,249x = 233,316 × 233,316
  4. Step 4: Simplify right side
    154,249x = 54,436,355,856
  5. Step 5: Solve for x
    x = 54,436,355,856/154,249
  6. Step 6: Final answer
    x = 352,912.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.