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Finding the Third Proportional to 104,320 and 224,864

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Solution

The third proportional to 104,320 and 224,864 is: 484,699.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,320 : 224,864 = 224,864 : x
  2. Step 2: Convert to fraction form
    104,320/224,864 = 224,864/x
  3. Step 3: Cross multiply
    104,320x = 224,864 × 224,864
  4. Step 4: Simplify right side
    104,320x = 50,563,818,496
  5. Step 5: Solve for x
    x = 50,563,818,496/104,320
  6. Step 6: Final answer
    x = 484,699.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.