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Finding the Third Proportional to 152,285.06 and 223,233.47

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Solution

The third proportional to 152,285.06 and 223,233.47 is: 327,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,285.06 : 223,233.47 = 223,233.47 : x
  2. Step 2: Convert to fraction form
    152,285.06/223,233.47 = 223,233.47/x
  3. Step 3: Cross multiply
    152,285.06x = 223,233.47 × 223,233.47
  4. Step 4: Simplify right side
    152,285.06x = 49,833,181,570.16
  5. Step 5: Solve for x
    x = 49,833,181,570.16/152,285.06
  6. Step 6: Final answer
    x = 327,236.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.