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Finding the Third Proportional to 202,056 and 425,064

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Solution

The third proportional to 202,056 and 425,064 is: 894,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,056 : 425,064 = 425,064 : x
  2. Step 2: Convert to fraction form
    202,056/425,064 = 425,064/x
  3. Step 3: Cross multiply
    202,056x = 425,064 × 425,064
  4. Step 4: Simplify right side
    202,056x = 180,679,404,096
  5. Step 5: Solve for x
    x = 180,679,404,096/202,056
  6. Step 6: Final answer
    x = 894,204.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.