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Finding the Third Proportional to 239,314.50 and 370,509.19

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Solution

The third proportional to 239,314.50 and 370,509.19 is: 573,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,314.50 : 370,509.19 = 370,509.19 : x
  2. Step 2: Convert to fraction form
    239,314.50/370,509.19 = 370,509.19/x
  3. Step 3: Cross multiply
    239,314.50x = 370,509.19 × 370,509.19
  4. Step 4: Simplify right side
    239,314.50x = 137,277,058,021.91
  5. Step 5: Solve for x
    x = 137,277,058,021.91/239,314.50
  6. Step 6: Final answer
    x = 573,626.16

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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.