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Finding the Third Proportional to 102,898.50 and 224,649.75

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Solution

The third proportional to 102,898.50 and 224,649.75 is: 490,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,898.50 : 224,649.75 = 224,649.75 : x
  2. Step 2: Convert to fraction form
    102,898.50/224,649.75 = 224,649.75/x
  3. Step 3: Cross multiply
    102,898.50x = 224,649.75 × 224,649.75
  4. Step 4: Simplify right side
    102,898.50x = 50,467,510,175.06
  5. Step 5: Solve for x
    x = 50,467,510,175.06/102,898.50
  6. Step 6: Final answer
    x = 490,459.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.