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Finding the Third Proportional to 104,870 and 224,570

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Solution

The third proportional to 104,870 and 224,570 is: 480,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,870 : 224,570 = 224,570 : x
  2. Step 2: Convert to fraction form
    104,870/224,570 = 224,570/x
  3. Step 3: Cross multiply
    104,870x = 224,570 × 224,570
  4. Step 4: Simplify right side
    104,870x = 50,431,684,900
  5. Step 5: Solve for x
    x = 50,431,684,900/104,870
  6. Step 6: Final answer
    x = 480,897.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.