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Finding the Third Proportional to 199,413 and 295,988

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Solution

The third proportional to 199,413 and 295,988 is: 439,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,413 : 295,988 = 295,988 : x
  2. Step 2: Convert to fraction form
    199,413/295,988 = 295,988/x
  3. Step 3: Cross multiply
    199,413x = 295,988 × 295,988
  4. Step 4: Simplify right side
    199,413x = 87,608,896,144
  5. Step 5: Solve for x
    x = 87,608,896,144/199,413
  6. Step 6: Final answer
    x = 439,333.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.