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Finding the Third Proportional to 136,125 and 295,868.25

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Solution

The third proportional to 136,125 and 295,868.25 is: 643,070.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,125 : 295,868.25 = 295,868.25 : x
  2. Step 2: Convert to fraction form
    136,125/295,868.25 = 295,868.25/x
  3. Step 3: Cross multiply
    136,125x = 295,868.25 × 295,868.25
  4. Step 4: Simplify right side
    136,125x = 87,538,021,358.06
  5. Step 5: Solve for x
    x = 87,538,021,358.06/136,125
  6. Step 6: Final answer
    x = 643,070.86

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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.