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Finding the Third Proportional to 151,653 and 233,804

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Solution

The third proportional to 151,653 and 233,804 is: 360,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,653 : 233,804 = 233,804 : x
  2. Step 2: Convert to fraction form
    151,653/233,804 = 233,804/x
  3. Step 3: Cross multiply
    151,653x = 233,804 × 233,804
  4. Step 4: Simplify right side
    151,653x = 54,664,310,416
  5. Step 5: Solve for x
    x = 54,664,310,416/151,653
  6. Step 6: Final answer
    x = 360,456.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.