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Finding the Third Proportional to 131,291 and 286,346

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Solution

The third proportional to 131,291 and 286,346 is: 624,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,291 : 286,346 = 286,346 : x
  2. Step 2: Convert to fraction form
    131,291/286,346 = 286,346/x
  3. Step 3: Cross multiply
    131,291x = 286,346 × 286,346
  4. Step 4: Simplify right side
    131,291x = 81,994,031,716
  5. Step 5: Solve for x
    x = 81,994,031,716/131,291
  6. Step 6: Final answer
    x = 624,521.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.