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Finding the Third Proportional to 134,596 and 295,726

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Solution

The third proportional to 134,596 and 295,726 is: 649,750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,596 : 295,726 = 295,726 : x
  2. Step 2: Convert to fraction form
    134,596/295,726 = 295,726/x
  3. Step 3: Cross multiply
    134,596x = 295,726 × 295,726
  4. Step 4: Simplify right side
    134,596x = 87,453,867,076
  5. Step 5: Solve for x
    x = 87,453,867,076/134,596
  6. Step 6: Final answer
    x = 649,750.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.