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Finding the Third Proportional to 175,272 and 382,576

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Solution

The third proportional to 175,272 and 382,576 is: 835,070.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,272 : 382,576 = 382,576 : x
  2. Step 2: Convert to fraction form
    175,272/382,576 = 382,576/x
  3. Step 3: Cross multiply
    175,272x = 382,576 × 382,576
  4. Step 4: Simplify right side
    175,272x = 146,364,395,776
  5. Step 5: Solve for x
    x = 146,364,395,776/175,272
  6. Step 6: Final answer
    x = 835,070.04

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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.