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Finding the Third Proportional to 64,364 and 150,382

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Solution

The third proportional to 64,364 and 150,382 is: 351,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,364 : 150,382 = 150,382 : x
  2. Step 2: Convert to fraction form
    64,364/150,382 = 150,382/x
  3. Step 3: Cross multiply
    64,364x = 150,382 × 150,382
  4. Step 4: Simplify right side
    64,364x = 22,614,745,924
  5. Step 5: Solve for x
    x = 22,614,745,924/64,364
  6. Step 6: Final answer
    x = 351,357.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.