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Finding the Third Proportional to 136,588 and 295,636

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Solution

The third proportional to 136,588 and 295,636 is: 639,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,588 : 295,636 = 295,636 : x
  2. Step 2: Convert to fraction form
    136,588/295,636 = 295,636/x
  3. Step 3: Cross multiply
    136,588x = 295,636 × 295,636
  4. Step 4: Simplify right side
    136,588x = 87,400,644,496
  5. Step 5: Solve for x
    x = 87,400,644,496/136,588
  6. Step 6: Final answer
    x = 639,885.24

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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.