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Finding the Third Proportional to 224,977.50 and 316,416.38

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Solution

The third proportional to 224,977.50 and 316,416.38 is: 445,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,977.50 : 316,416.38 = 316,416.38 : x
  2. Step 2: Convert to fraction form
    224,977.50/316,416.38 = 316,416.38/x
  3. Step 3: Cross multiply
    224,977.50x = 316,416.38 × 316,416.38
  4. Step 4: Simplify right side
    224,977.50x = 100,119,322,368.14
  5. Step 5: Solve for x
    x = 100,119,322,368.14/224,977.50
  6. Step 6: Final answer
    x = 445,019.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.