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Finding the Third Proportional to 103,948 and 224,526

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Solution

The third proportional to 103,948 and 224,526 is: 484,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,948 : 224,526 = 224,526 : x
  2. Step 2: Convert to fraction form
    103,948/224,526 = 224,526/x
  3. Step 3: Cross multiply
    103,948x = 224,526 × 224,526
  4. Step 4: Simplify right side
    103,948x = 50,411,924,676
  5. Step 5: Solve for x
    x = 50,411,924,676/103,948
  6. Step 6: Final answer
    x = 484,972.53

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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.