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Finding the Third Proportional to 201,001.50 and 425,331

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Solution

The third proportional to 201,001.50 and 425,331 is: 900,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,001.50 : 425,331 = 425,331 : x
  2. Step 2: Convert to fraction form
    201,001.50/425,331 = 425,331/x
  3. Step 3: Cross multiply
    201,001.50x = 425,331 × 425,331
  4. Step 4: Simplify right side
    201,001.50x = 180,906,459,561
  5. Step 5: Solve for x
    x = 180,906,459,561/201,001.50
  6. Step 6: Final answer
    x = 900,025.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.