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Finding the Third Proportional to 143,953.50 and 224,037

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Solution

The third proportional to 143,953.50 and 224,037 is: 348,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,953.50 : 224,037 = 224,037 : x
  2. Step 2: Convert to fraction form
    143,953.50/224,037 = 224,037/x
  3. Step 3: Cross multiply
    143,953.50x = 224,037 × 224,037
  4. Step 4: Simplify right side
    143,953.50x = 50,192,577,369
  5. Step 5: Solve for x
    x = 50,192,577,369/143,953.50
  6. Step 6: Final answer
    x = 348,672.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.