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Finding the Third Proportional to 202,062 and 425,076

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Solution

The third proportional to 202,062 and 425,076 is: 894,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,062 : 425,076 = 425,076 : x
  2. Step 2: Convert to fraction form
    202,062/425,076 = 425,076/x
  3. Step 3: Cross multiply
    202,062x = 425,076 × 425,076
  4. Step 4: Simplify right side
    202,062x = 180,689,605,776
  5. Step 5: Solve for x
    x = 180,689,605,776/202,062
  6. Step 6: Final answer
    x = 894,228.53

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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.