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Finding the Third Proportional to 201,897 and 294,082

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Solution

The third proportional to 201,897 and 294,082 is: 428,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,897 : 294,082 = 294,082 : x
  2. Step 2: Convert to fraction form
    201,897/294,082 = 294,082/x
  3. Step 3: Cross multiply
    201,897x = 294,082 × 294,082
  4. Step 4: Simplify right side
    201,897x = 86,484,222,724
  5. Step 5: Solve for x
    x = 86,484,222,724/201,897
  6. Step 6: Final answer
    x = 428,358.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.