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Finding the Third Proportional to 149,722.88 and 238,108.50

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Solution

The third proportional to 149,722.88 and 238,108.50 is: 378,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,722.88 : 238,108.50 = 238,108.50 : x
  2. Step 2: Convert to fraction form
    149,722.88/238,108.50 = 238,108.50/x
  3. Step 3: Cross multiply
    149,722.88x = 238,108.50 × 238,108.50
  4. Step 4: Simplify right side
    149,722.88x = 56,695,657,772.25
  5. Step 5: Solve for x
    x = 56,695,657,772.25/149,722.88
  6. Step 6: Final answer
    x = 378,670.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.