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Finding the Third Proportional to 202,365 and 425,574

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Solution

The third proportional to 202,365 and 425,574 is: 894,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,365 : 425,574 = 425,574 : x
  2. Step 2: Convert to fraction form
    202,365/425,574 = 425,574/x
  3. Step 3: Cross multiply
    202,365x = 425,574 × 425,574
  4. Step 4: Simplify right side
    202,365x = 181,113,229,476
  5. Step 5: Solve for x
    x = 181,113,229,476/202,365
  6. Step 6: Final answer
    x = 894,982.97

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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.