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Finding the Third Proportional to 152,707.50 and 233,010

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Solution

The third proportional to 152,707.50 and 233,010 is: 355,540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,707.50 : 233,010 = 233,010 : x
  2. Step 2: Convert to fraction form
    152,707.50/233,010 = 233,010/x
  3. Step 3: Cross multiply
    152,707.50x = 233,010 × 233,010
  4. Step 4: Simplify right side
    152,707.50x = 54,293,660,100
  5. Step 5: Solve for x
    x = 54,293,660,100/152,707.50
  6. Step 6: Final answer
    x = 355,540.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.