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Finding the Third Proportional to 149,967 and 238,498

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Solution

The third proportional to 149,967 and 238,498 is: 379,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,967 : 238,498 = 238,498 : x
  2. Step 2: Convert to fraction form
    149,967/238,498 = 238,498/x
  3. Step 3: Cross multiply
    149,967x = 238,498 × 238,498
  4. Step 4: Simplify right side
    149,967x = 56,881,296,004
  5. Step 5: Solve for x
    x = 56,881,296,004/149,967
  6. Step 6: Final answer
    x = 379,292.08

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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.