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Finding the Third Proportional to 239,424.50 and 370,717

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Solution

The third proportional to 239,424.50 and 370,717 is: 574,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,424.50 : 370,717 = 370,717 : x
  2. Step 2: Convert to fraction form
    239,424.50/370,717 = 370,717/x
  3. Step 3: Cross multiply
    239,424.50x = 370,717 × 370,717
  4. Step 4: Simplify right side
    239,424.50x = 137,431,094,089
  5. Step 5: Solve for x
    x = 137,431,094,089/239,424.50
  6. Step 6: Final answer
    x = 574,005.98

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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.