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Finding the Third Proportional to 102,903.75 and 224,658

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Solution

The third proportional to 102,903.75 and 224,658 is: 490,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,903.75 : 224,658 = 224,658 : x
  2. Step 2: Convert to fraction form
    102,903.75/224,658 = 224,658/x
  3. Step 3: Cross multiply
    102,903.75x = 224,658 × 224,658
  4. Step 4: Simplify right side
    102,903.75x = 50,471,216,964
  5. Step 5: Solve for x
    x = 50,471,216,964/102,903.75
  6. Step 6: Final answer
    x = 490,470.14

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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.