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Finding the Third Proportional to 200,424 and 322,358

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Solution

The third proportional to 200,424 and 322,358 is: 518,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,424 : 322,358 = 322,358 : x
  2. Step 2: Convert to fraction form
    200,424/322,358 = 322,358/x
  3. Step 3: Cross multiply
    200,424x = 322,358 × 322,358
  4. Step 4: Simplify right side
    200,424x = 103,914,680,164
  5. Step 5: Solve for x
    x = 103,914,680,164/200,424
  6. Step 6: Final answer
    x = 518,474.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.