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Finding the Third Proportional to 201,885.75 and 364,304.25

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Solution

The third proportional to 201,885.75 and 364,304.25 is: 657,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,885.75 : 364,304.25 = 364,304.25 : x
  2. Step 2: Convert to fraction form
    201,885.75/364,304.25 = 364,304.25/x
  3. Step 3: Cross multiply
    201,885.75x = 364,304.25 × 364,304.25
  4. Step 4: Simplify right side
    201,885.75x = 132,717,586,568.06
  5. Step 5: Solve for x
    x = 132,717,586,568.06/201,885.75
  6. Step 6: Final answer
    x = 657,389.57

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.