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Finding the Third Proportional to 239,444 and 357,088

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Solution

The third proportional to 239,444 and 357,088 is: 532,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,444 : 357,088 = 357,088 : x
  2. Step 2: Convert to fraction form
    239,444/357,088 = 357,088/x
  3. Step 3: Cross multiply
    239,444x = 357,088 × 357,088
  4. Step 4: Simplify right side
    239,444x = 127,511,839,744
  5. Step 5: Solve for x
    x = 127,511,839,744/239,444
  6. Step 6: Final answer
    x = 532,533.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.