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Finding the Third Proportional to 154,548 and 344,088

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Solution

The third proportional to 154,548 and 344,088 is: 766,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,548 : 344,088 = 344,088 : x
  2. Step 2: Convert to fraction form
    154,548/344,088 = 344,088/x
  3. Step 3: Cross multiply
    154,548x = 344,088 × 344,088
  4. Step 4: Simplify right side
    154,548x = 118,396,551,744
  5. Step 5: Solve for x
    x = 118,396,551,744/154,548
  6. Step 6: Final answer
    x = 766,082.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.