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Finding the Third Proportional to 170,528 and 368,272

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Solution

The third proportional to 170,528 and 368,272 is: 795,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,528 : 368,272 = 368,272 : x
  2. Step 2: Convert to fraction form
    170,528/368,272 = 368,272/x
  3. Step 3: Cross multiply
    170,528x = 368,272 × 368,272
  4. Step 4: Simplify right side
    170,528x = 135,624,265,984
  5. Step 5: Solve for x
    x = 135,624,265,984/170,528
  6. Step 6: Final answer
    x = 795,319.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.