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Finding the Third Proportional to 230,376.50 and 360,604.50

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Solution

The third proportional to 230,376.50 and 360,604.50 is: 564,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,376.50 : 360,604.50 = 360,604.50 : x
  2. Step 2: Convert to fraction form
    230,376.50/360,604.50 = 360,604.50/x
  3. Step 3: Cross multiply
    230,376.50x = 360,604.50 × 360,604.50
  4. Step 4: Simplify right side
    230,376.50x = 130,035,605,420.25
  5. Step 5: Solve for x
    x = 130,035,605,420.25/230,376.50
  6. Step 6: Final answer
    x = 564,448.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.