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Finding the Third Proportional to 201,642 and 304,082

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Solution

The third proportional to 201,642 and 304,082 is: 458,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,642 : 304,082 = 304,082 : x
  2. Step 2: Convert to fraction form
    201,642/304,082 = 304,082/x
  3. Step 3: Cross multiply
    201,642x = 304,082 × 304,082
  4. Step 4: Simplify right side
    201,642x = 92,465,862,724
  5. Step 5: Solve for x
    x = 92,465,862,724/201,642
  6. Step 6: Final answer
    x = 458,564.50

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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.