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Finding the Third Proportional to 103,942 and 224,515

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Solution

The third proportional to 103,942 and 224,515 is: 484,953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,942 : 224,515 = 224,515 : x
  2. Step 2: Convert to fraction form
    103,942/224,515 = 224,515/x
  3. Step 3: Cross multiply
    103,942x = 224,515 × 224,515
  4. Step 4: Simplify right side
    103,942x = 50,406,985,225
  5. Step 5: Solve for x
    x = 50,406,985,225/103,942
  6. Step 6: Final answer
    x = 484,953.00

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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.