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Finding the Third Proportional to 201,972 and 424,248

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Solution

The third proportional to 201,972 and 424,248 is: 891,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,972 : 424,248 = 424,248 : x
  2. Step 2: Convert to fraction form
    201,972/424,248 = 424,248/x
  3. Step 3: Cross multiply
    201,972x = 424,248 × 424,248
  4. Step 4: Simplify right side
    201,972x = 179,986,365,504
  5. Step 5: Solve for x
    x = 179,986,365,504/201,972
  6. Step 6: Final answer
    x = 891,145.14

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