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Finding the Third Proportional to 239,805 and 369,550.50

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Solution

The third proportional to 239,805 and 369,550.50 is: 569,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,805 : 369,550.50 = 369,550.50 : x
  2. Step 2: Convert to fraction form
    239,805/369,550.50 = 369,550.50/x
  3. Step 3: Cross multiply
    239,805x = 369,550.50 × 369,550.50
  4. Step 4: Simplify right side
    239,805x = 136,567,572,050.25
  5. Step 5: Solve for x
    x = 136,567,572,050.25/239,805
  6. Step 6: Final answer
    x = 569,494.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.