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Finding the Third Proportional to 134,152 and 264,920

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Solution

The third proportional to 134,152 and 264,920 is: 523,157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,152 : 264,920 = 264,920 : x
  2. Step 2: Convert to fraction form
    134,152/264,920 = 264,920/x
  3. Step 3: Cross multiply
    134,152x = 264,920 × 264,920
  4. Step 4: Simplify right side
    134,152x = 70,182,606,400
  5. Step 5: Solve for x
    x = 70,182,606,400/134,152
  6. Step 6: Final answer
    x = 523,157.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.