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Finding the Third Proportional to 145,510 and 224,272

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Solution

The third proportional to 145,510 and 224,272 is: 345,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,510 : 224,272 = 224,272 : x
  2. Step 2: Convert to fraction form
    145,510/224,272 = 224,272/x
  3. Step 3: Cross multiply
    145,510x = 224,272 × 224,272
  4. Step 4: Simplify right side
    145,510x = 50,297,929,984
  5. Step 5: Solve for x
    x = 50,297,929,984/145,510
  6. Step 6: Final answer
    x = 345,666.48

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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.