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Finding the Third Proportional to 157,013.44 and 224,266.22

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Solution

The third proportional to 157,013.44 and 224,266.22 is: 320,325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,013.44 : 224,266.22 = 224,266.22 : x
  2. Step 2: Convert to fraction form
    157,013.44/224,266.22 = 224,266.22/x
  3. Step 3: Cross multiply
    157,013.44x = 224,266.22 × 224,266.22
  4. Step 4: Simplify right side
    157,013.44x = 50,295,336,872.42
  5. Step 5: Solve for x
    x = 50,295,336,872.42/157,013.44
  6. Step 6: Final answer
    x = 320,325.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.