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Finding the Third Proportional to 145,518 and 224,271

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Solution

The third proportional to 145,518 and 224,271 is: 345,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,518 : 224,271 = 224,271 : x
  2. Step 2: Convert to fraction form
    145,518/224,271 = 224,271/x
  3. Step 3: Cross multiply
    145,518x = 224,271 × 224,271
  4. Step 4: Simplify right side
    145,518x = 50,297,481,441
  5. Step 5: Solve for x
    x = 50,297,481,441/145,518
  6. Step 6: Final answer
    x = 345,644.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.