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Finding the Third Proportional to 102,674 and 224,944

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Solution

The third proportional to 102,674 and 224,944 is: 492,820.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,674 : 224,944 = 224,944 : x
  2. Step 2: Convert to fraction form
    102,674/224,944 = 224,944/x
  3. Step 3: Cross multiply
    102,674x = 224,944 × 224,944
  4. Step 4: Simplify right side
    102,674x = 50,599,803,136
  5. Step 5: Solve for x
    x = 50,599,803,136/102,674
  6. Step 6: Final answer
    x = 492,820.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.