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Finding the Third Proportional to 199,639 and 293,617

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Solution

The third proportional to 199,639 and 293,617 is: 431,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,639 : 293,617 = 293,617 : x
  2. Step 2: Convert to fraction form
    199,639/293,617 = 293,617/x
  3. Step 3: Cross multiply
    199,639x = 293,617 × 293,617
  4. Step 4: Simplify right side
    199,639x = 86,210,942,689
  5. Step 5: Solve for x
    x = 86,210,942,689/199,639
  6. Step 6: Final answer
    x = 431,834.17

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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.