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Finding the Third Proportional to 201,644 and 304,085

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Solution

The third proportional to 201,644 and 304,085 is: 458,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644 : 304,085 = 304,085 : x
  2. Step 2: Convert to fraction form
    201,644/304,085 = 304,085/x
  3. Step 3: Cross multiply
    201,644x = 304,085 × 304,085
  4. Step 4: Simplify right side
    201,644x = 92,467,687,225
  5. Step 5: Solve for x
    x = 92,467,687,225/201,644
  6. Step 6: Final answer
    x = 458,569.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.