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Finding the Third Proportional to 171,635 and 358,954

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Solution

The third proportional to 171,635 and 358,954 is: 750,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,635 : 358,954 = 358,954 : x
  2. Step 2: Convert to fraction form
    171,635/358,954 = 358,954/x
  3. Step 3: Cross multiply
    171,635x = 358,954 × 358,954
  4. Step 4: Simplify right side
    171,635x = 128,847,974,116
  5. Step 5: Solve for x
    x = 128,847,974,116/171,635
  6. Step 6: Final answer
    x = 750,709.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.