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Finding the Third Proportional to 201,209.06 and 426,407.06

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Solution

The third proportional to 201,209.06 and 426,407.06 is: 903,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,209.06 : 426,407.06 = 426,407.06 : x
  2. Step 2: Convert to fraction form
    201,209.06/426,407.06 = 426,407.06/x
  3. Step 3: Cross multiply
    201,209.06x = 426,407.06 × 426,407.06
  4. Step 4: Simplify right side
    201,209.06x = 181,822,982,949.88
  5. Step 5: Solve for x
    x = 181,822,982,949.88/201,209.06
  6. Step 6: Final answer
    x = 903,652.06

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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.