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Finding the Third Proportional to 158,175 and 373,380

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Solution

The third proportional to 158,175 and 373,380 is: 881,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,175 : 373,380 = 373,380 : x
  2. Step 2: Convert to fraction form
    158,175/373,380 = 373,380/x
  3. Step 3: Cross multiply
    158,175x = 373,380 × 373,380
  4. Step 4: Simplify right side
    158,175x = 139,412,624,400
  5. Step 5: Solve for x
    x = 139,412,624,400/158,175
  6. Step 6: Final answer
    x = 881,382.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.