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Finding the Third Proportional to 202,250 and 441,364

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Solution

The third proportional to 202,250 and 441,364 is: 963,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,250 : 441,364 = 441,364 : x
  2. Step 2: Convert to fraction form
    202,250/441,364 = 441,364/x
  3. Step 3: Cross multiply
    202,250x = 441,364 × 441,364
  4. Step 4: Simplify right side
    202,250x = 194,802,180,496
  5. Step 5: Solve for x
    x = 194,802,180,496/202,250
  6. Step 6: Final answer
    x = 963,175.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.