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Finding the Third Proportional to 199,569 and 293,511

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Solution

The third proportional to 199,569 and 293,511 is: 431,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,569 : 293,511 = 293,511 : x
  2. Step 2: Convert to fraction form
    199,569/293,511 = 293,511/x
  3. Step 3: Cross multiply
    199,569x = 293,511 × 293,511
  4. Step 4: Simplify right side
    199,569x = 86,148,707,121
  5. Step 5: Solve for x
    x = 86,148,707,121/199,569
  6. Step 6: Final answer
    x = 431,673.79

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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.