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Finding the Third Proportional to 201,656 and 424,096

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Solution

The third proportional to 201,656 and 424,096 is: 891,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,656 : 424,096 = 424,096 : x
  2. Step 2: Convert to fraction form
    201,656/424,096 = 424,096/x
  3. Step 3: Cross multiply
    201,656x = 424,096 × 424,096
  4. Step 4: Simplify right side
    201,656x = 179,857,417,216
  5. Step 5: Solve for x
    x = 179,857,417,216/201,656
  6. Step 6: Final answer
    x = 891,902.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.