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Finding the Third Proportional to 202,417 and 297,057

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Solution

The third proportional to 202,417 and 297,057 is: 435,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,417 : 297,057 = 297,057 : x
  2. Step 2: Convert to fraction form
    202,417/297,057 = 297,057/x
  3. Step 3: Cross multiply
    202,417x = 297,057 × 297,057
  4. Step 4: Simplify right side
    202,417x = 88,242,861,249
  5. Step 5: Solve for x
    x = 88,242,861,249/202,417
  6. Step 6: Final answer
    x = 435,945.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.