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Finding the Third Proportional to 85,588 and 176,628

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Solution

The third proportional to 85,588 and 176,628 is: 364,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,588 : 176,628 = 176,628 : x
  2. Step 2: Convert to fraction form
    85,588/176,628 = 176,628/x
  3. Step 3: Cross multiply
    85,588x = 176,628 × 176,628
  4. Step 4: Simplify right side
    85,588x = 31,197,450,384
  5. Step 5: Solve for x
    x = 31,197,450,384/85,588
  6. Step 6: Final answer
    x = 364,507.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.