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Finding the Third Proportional to 154,818 and 339,141

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Solution

The third proportional to 154,818 and 339,141 is: 742,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,818 : 339,141 = 339,141 : x
  2. Step 2: Convert to fraction form
    154,818/339,141 = 339,141/x
  3. Step 3: Cross multiply
    154,818x = 339,141 × 339,141
  4. Step 4: Simplify right side
    154,818x = 115,016,617,881
  5. Step 5: Solve for x
    x = 115,016,617,881/154,818
  6. Step 6: Final answer
    x = 742,915.02

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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.