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Finding the Third Proportional to 197,387 and 299,773

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Solution

The third proportional to 197,387 and 299,773 is: 455,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,387 : 299,773 = 299,773 : x
  2. Step 2: Convert to fraction form
    197,387/299,773 = 299,773/x
  3. Step 3: Cross multiply
    197,387x = 299,773 × 299,773
  4. Step 4: Simplify right side
    197,387x = 89,863,851,529
  5. Step 5: Solve for x
    x = 89,863,851,529/197,387
  6. Step 6: Final answer
    x = 455,267.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.