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Finding the Third Proportional to 73,476 and 160,272

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Solution

The third proportional to 73,476 and 160,272 is: 349,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,476 : 160,272 = 160,272 : x
  2. Step 2: Convert to fraction form
    73,476/160,272 = 160,272/x
  3. Step 3: Cross multiply
    73,476x = 160,272 × 160,272
  4. Step 4: Simplify right side
    73,476x = 25,687,113,984
  5. Step 5: Solve for x
    x = 25,687,113,984/73,476
  6. Step 6: Final answer
    x = 349,598.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.