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Finding the Third Proportional to 199,548 and 291,539

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Solution

The third proportional to 199,548 and 291,539 is: 425,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,548 : 291,539 = 291,539 : x
  2. Step 2: Convert to fraction form
    199,548/291,539 = 291,539/x
  3. Step 3: Cross multiply
    199,548x = 291,539 × 291,539
  4. Step 4: Simplify right side
    199,548x = 84,994,988,521
  5. Step 5: Solve for x
    x = 84,994,988,521/199,548
  6. Step 6: Final answer
    x = 425,937.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.