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Finding the Third Proportional to 153,257.06 and 327,548.81

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Solution

The third proportional to 153,257.06 and 327,548.81 is: 700,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,257.06 : 327,548.81 = 327,548.81 : x
  2. Step 2: Convert to fraction form
    153,257.06/327,548.81 = 327,548.81/x
  3. Step 3: Cross multiply
    153,257.06x = 327,548.81 × 327,548.81
  4. Step 4: Simplify right side
    153,257.06x = 107,288,224,570.16
  5. Step 5: Solve for x
    x = 107,288,224,570.16/153,257.06
  6. Step 6: Final answer
    x = 700,054.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.