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Finding the Third Proportional to 201,145.50 and 425,619

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Solution

The third proportional to 201,145.50 and 425,619 is: 900,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,145.50 : 425,619 = 425,619 : x
  2. Step 2: Convert to fraction form
    201,145.50/425,619 = 425,619/x
  3. Step 3: Cross multiply
    201,145.50x = 425,619 × 425,619
  4. Step 4: Simplify right side
    201,145.50x = 181,151,533,161
  5. Step 5: Solve for x
    x = 181,151,533,161/201,145.50
  6. Step 6: Final answer
    x = 900,599.48

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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.