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Finding the Third Proportional to 155,570.06 and 232,362.56

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Solution

The third proportional to 155,570.06 and 232,362.56 is: 347,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,570.06 : 232,362.56 = 232,362.56 : x
  2. Step 2: Convert to fraction form
    155,570.06/232,362.56 = 232,362.56/x
  3. Step 3: Cross multiply
    155,570.06x = 232,362.56 × 232,362.56
  4. Step 4: Simplify right side
    155,570.06x = 53,992,360,451.57
  5. Step 5: Solve for x
    x = 53,992,360,451.57/155,570.06
  6. Step 6: Final answer
    x = 347,061.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.