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Finding the Third Proportional to 201,914 and 312,607

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Solution

The third proportional to 201,914 and 312,607 is: 483,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914 : 312,607 = 312,607 : x
  2. Step 2: Convert to fraction form
    201,914/312,607 = 312,607/x
  3. Step 3: Cross multiply
    201,914x = 312,607 × 312,607
  4. Step 4: Simplify right side
    201,914x = 97,723,136,449
  5. Step 5: Solve for x
    x = 97,723,136,449/201,914
  6. Step 6: Final answer
    x = 483,983.96

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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.