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Finding the Third Proportional to 154,269 and 233,048.25

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Solution

The third proportional to 154,269 and 233,048.25 is: 352,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,269 : 233,048.25 = 233,048.25 : x
  2. Step 2: Convert to fraction form
    154,269/233,048.25 = 233,048.25/x
  3. Step 3: Cross multiply
    154,269x = 233,048.25 × 233,048.25
  4. Step 4: Simplify right side
    154,269x = 54,311,486,828.06
  5. Step 5: Solve for x
    x = 54,311,486,828.06/154,269
  6. Step 6: Final answer
    x = 352,057.04

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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.