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Finding the Third Proportional to 201,973 and 307,156

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Solution

The third proportional to 201,973 and 307,156 is: 467,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,973 : 307,156 = 307,156 : x
  2. Step 2: Convert to fraction form
    201,973/307,156 = 307,156/x
  3. Step 3: Cross multiply
    201,973x = 307,156 × 307,156
  4. Step 4: Simplify right side
    201,973x = 94,344,808,336
  5. Step 5: Solve for x
    x = 94,344,808,336/201,973
  6. Step 6: Final answer
    x = 467,115.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.