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Finding the Third Proportional to 201,069 and 312,628

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Solution

The third proportional to 201,069 and 312,628 is: 486,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,069 : 312,628 = 312,628 : x
  2. Step 2: Convert to fraction form
    201,069/312,628 = 312,628/x
  3. Step 3: Cross multiply
    201,069x = 312,628 × 312,628
  4. Step 4: Simplify right side
    201,069x = 97,736,266,384
  5. Step 5: Solve for x
    x = 97,736,266,384/201,069
  6. Step 6: Final answer
    x = 486,083.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.