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Finding the Third Proportional to 154,526 and 239,141

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Solution

The third proportional to 154,526 and 239,141 is: 370,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,526 : 239,141 = 239,141 : x
  2. Step 2: Convert to fraction form
    154,526/239,141 = 239,141/x
  3. Step 3: Cross multiply
    154,526x = 239,141 × 239,141
  4. Step 4: Simplify right side
    154,526x = 57,188,417,881
  5. Step 5: Solve for x
    x = 57,188,417,881/154,526
  6. Step 6: Final answer
    x = 370,089.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.