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Finding the Third Proportional to 131,907 and 293,352

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Solution

The third proportional to 131,907 and 293,352 is: 652,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,907 : 293,352 = 293,352 : x
  2. Step 2: Convert to fraction form
    131,907/293,352 = 293,352/x
  3. Step 3: Cross multiply
    131,907x = 293,352 × 293,352
  4. Step 4: Simplify right side
    131,907x = 86,055,395,904
  5. Step 5: Solve for x
    x = 86,055,395,904/131,907
  6. Step 6: Final answer
    x = 652,394.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.