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Finding the Third Proportional to 158,690.25 and 245,872.13

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Solution

The third proportional to 158,690.25 and 245,872.13 is: 380,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,690.25 : 245,872.13 = 245,872.13 : x
  2. Step 2: Convert to fraction form
    158,690.25/245,872.13 = 245,872.13/x
  3. Step 3: Cross multiply
    158,690.25x = 245,872.13 × 245,872.13
  4. Step 4: Simplify right side
    158,690.25x = 60,453,101,852.02
  5. Step 5: Solve for x
    x = 60,453,101,852.02/158,690.25
  6. Step 6: Final answer
    x = 380,950.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.