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Finding the Third Proportional to 201,175.88 and 418,875.75

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Solution

The third proportional to 201,175.88 and 418,875.75 is: 872,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,175.88 : 418,875.75 = 418,875.75 : x
  2. Step 2: Convert to fraction form
    201,175.88/418,875.75 = 418,875.75/x
  3. Step 3: Cross multiply
    201,175.88x = 418,875.75 × 418,875.75
  4. Step 4: Simplify right side
    201,175.88x = 175,456,893,938.06
  5. Step 5: Solve for x
    x = 175,456,893,938.06/201,175.88
  6. Step 6: Final answer
    x = 872,156.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.