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Finding the Third Proportional to 153,765 and 233,757

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Solution

The third proportional to 153,765 and 233,757 is: 355,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,765 : 233,757 = 233,757 : x
  2. Step 2: Convert to fraction form
    153,765/233,757 = 233,757/x
  3. Step 3: Cross multiply
    153,765x = 233,757 × 233,757
  4. Step 4: Simplify right side
    153,765x = 54,642,335,049
  5. Step 5: Solve for x
    x = 54,642,335,049/153,765
  6. Step 6: Final answer
    x = 355,362.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.