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Finding the Third Proportional to 103,633 and 224,763

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Solution

The third proportional to 103,633 and 224,763 is: 487,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633 : 224,763 = 224,763 : x
  2. Step 2: Convert to fraction form
    103,633/224,763 = 224,763/x
  3. Step 3: Cross multiply
    103,633x = 224,763 × 224,763
  4. Step 4: Simplify right side
    103,633x = 50,518,406,169
  5. Step 5: Solve for x
    x = 50,518,406,169/103,633
  6. Step 6: Final answer
    x = 487,474.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.