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Finding the Third Proportional to 201,151 and 431,510

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Solution

The third proportional to 201,151 and 431,510 is: 925,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,151 : 431,510 = 431,510 : x
  2. Step 2: Convert to fraction form
    201,151/431,510 = 431,510/x
  3. Step 3: Cross multiply
    201,151x = 431,510 × 431,510
  4. Step 4: Simplify right side
    201,151x = 186,200,880,100
  5. Step 5: Solve for x
    x = 186,200,880,100/201,151
  6. Step 6: Final answer
    x = 925,677.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.