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Finding the Third Proportional to 136,486.50 and 295,329

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Solution

The third proportional to 136,486.50 and 295,329 is: 639,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,486.50 : 295,329 = 295,329 : x
  2. Step 2: Convert to fraction form
    136,486.50/295,329 = 295,329/x
  3. Step 3: Cross multiply
    136,486.50x = 295,329 × 295,329
  4. Step 4: Simplify right side
    136,486.50x = 87,219,218,241
  5. Step 5: Solve for x
    x = 87,219,218,241/136,486.50
  6. Step 6: Final answer
    x = 639,031.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.