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Finding the Third Proportional to 199,593 and 301,461

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Solution

The third proportional to 199,593 and 301,461 is: 455,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,593 : 301,461 = 301,461 : x
  2. Step 2: Convert to fraction form
    199,593/301,461 = 301,461/x
  3. Step 3: Cross multiply
    199,593x = 301,461 × 301,461
  4. Step 4: Simplify right side
    199,593x = 90,878,734,521
  5. Step 5: Solve for x
    x = 90,878,734,521/199,593
  6. Step 6: Final answer
    x = 455,320.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.