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Finding the Third Proportional to 103,416.75 and 224,595

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Solution

The third proportional to 103,416.75 and 224,595 is: 487,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,416.75 : 224,595 = 224,595 : x
  2. Step 2: Convert to fraction form
    103,416.75/224,595 = 224,595/x
  3. Step 3: Cross multiply
    103,416.75x = 224,595 × 224,595
  4. Step 4: Simplify right side
    103,416.75x = 50,442,914,025
  5. Step 5: Solve for x
    x = 50,442,914,025/103,416.75
  6. Step 6: Final answer
    x = 487,763.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.