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Finding the Third Proportional to 158,195 and 341,252

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Solution

The third proportional to 158,195 and 341,252 is: 736,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,195 : 341,252 = 341,252 : x
  2. Step 2: Convert to fraction form
    158,195/341,252 = 341,252/x
  3. Step 3: Cross multiply
    158,195x = 341,252 × 341,252
  4. Step 4: Simplify right side
    158,195x = 116,452,927,504
  5. Step 5: Solve for x
    x = 116,452,927,504/158,195
  6. Step 6: Final answer
    x = 736,135.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.