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Finding the Third Proportional to 144,705 and 224,037

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Solution

The third proportional to 144,705 and 224,037 is: 346,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,705 : 224,037 = 224,037 : x
  2. Step 2: Convert to fraction form
    144,705/224,037 = 224,037/x
  3. Step 3: Cross multiply
    144,705x = 224,037 × 224,037
  4. Step 4: Simplify right side
    144,705x = 50,192,577,369
  5. Step 5: Solve for x
    x = 50,192,577,369/144,705
  6. Step 6: Final answer
    x = 346,861.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.