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Finding the Third Proportional to 134,634 and 295,380

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Solution

The third proportional to 134,634 and 295,380 is: 648,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,634 : 295,380 = 295,380 : x
  2. Step 2: Convert to fraction form
    134,634/295,380 = 295,380/x
  3. Step 3: Cross multiply
    134,634x = 295,380 × 295,380
  4. Step 4: Simplify right side
    134,634x = 87,249,344,400
  5. Step 5: Solve for x
    x = 87,249,344,400/134,634
  6. Step 6: Final answer
    x = 648,048.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.