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Finding the Third Proportional to 134,430 and 295,068

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Solution

The third proportional to 134,430 and 295,068 is: 647,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,430 : 295,068 = 295,068 : x
  2. Step 2: Convert to fraction form
    134,430/295,068 = 295,068/x
  3. Step 3: Cross multiply
    134,430x = 295,068 × 295,068
  4. Step 4: Simplify right side
    134,430x = 87,065,124,624
  5. Step 5: Solve for x
    x = 87,065,124,624/134,430
  6. Step 6: Final answer
    x = 647,661.42

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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.