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Finding the Third Proportional to 154,064 and 334,464

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Solution

The third proportional to 154,064 and 334,464 is: 726,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,064 : 334,464 = 334,464 : x
  2. Step 2: Convert to fraction form
    154,064/334,464 = 334,464/x
  3. Step 3: Cross multiply
    154,064x = 334,464 × 334,464
  4. Step 4: Simplify right side
    154,064x = 111,866,167,296
  5. Step 5: Solve for x
    x = 111,866,167,296/154,064
  6. Step 6: Final answer
    x = 726,101.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.