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Finding the Third Proportional to 154,077 and 336,513

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Solution

The third proportional to 154,077 and 336,513 is: 734,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,077 : 336,513 = 336,513 : x
  2. Step 2: Convert to fraction form
    154,077/336,513 = 336,513/x
  3. Step 3: Cross multiply
    154,077x = 336,513 × 336,513
  4. Step 4: Simplify right side
    154,077x = 113,240,999,169
  5. Step 5: Solve for x
    x = 113,240,999,169/154,077
  6. Step 6: Final answer
    x = 734,963.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.