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Finding the Third Proportional to 136,154 and 295,922

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Solution

The third proportional to 136,154 and 295,922 is: 643,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,154 : 295,922 = 295,922 : x
  2. Step 2: Convert to fraction form
    136,154/295,922 = 295,922/x
  3. Step 3: Cross multiply
    136,154x = 295,922 × 295,922
  4. Step 4: Simplify right side
    136,154x = 87,569,830,084
  5. Step 5: Solve for x
    x = 87,569,830,084/136,154
  6. Step 6: Final answer
    x = 643,167.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.