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Finding the Third Proportional to 134,962 and 295,348

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Solution

The third proportional to 134,962 and 295,348 is: 646,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,962 : 295,348 = 295,348 : x
  2. Step 2: Convert to fraction form
    134,962/295,348 = 295,348/x
  3. Step 3: Cross multiply
    134,962x = 295,348 × 295,348
  4. Step 4: Simplify right side
    134,962x = 87,230,441,104
  5. Step 5: Solve for x
    x = 87,230,441,104/134,962
  6. Step 6: Final answer
    x = 646,333.35

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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.