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Finding the Third Proportional to 149,376 and 236,644

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Solution

The third proportional to 149,376 and 236,644 is: 374,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,376 : 236,644 = 236,644 : x
  2. Step 2: Convert to fraction form
    149,376/236,644 = 236,644/x
  3. Step 3: Cross multiply
    149,376x = 236,644 × 236,644
  4. Step 4: Simplify right side
    149,376x = 56,000,382,736
  5. Step 5: Solve for x
    x = 56,000,382,736/149,376
  6. Step 6: Final answer
    x = 374,895.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.