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Finding the Third Proportional to 145,509 and 224,270

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Solution

The third proportional to 145,509 and 224,270 is: 345,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,509 : 224,270 = 224,270 : x
  2. Step 2: Convert to fraction form
    145,509/224,270 = 224,270/x
  3. Step 3: Cross multiply
    145,509x = 224,270 × 224,270
  4. Step 4: Simplify right side
    145,509x = 50,297,032,900
  5. Step 5: Solve for x
    x = 50,297,032,900/145,509
  6. Step 6: Final answer
    x = 345,662.69

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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.