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Finding the Third Proportional to 147,209.06 and 233,485.03

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Solution

The third proportional to 147,209.06 and 233,485.03 is: 370,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,209.06 : 233,485.03 = 233,485.03 : x
  2. Step 2: Convert to fraction form
    147,209.06/233,485.03 = 233,485.03/x
  3. Step 3: Cross multiply
    147,209.06x = 233,485.03 × 233,485.03
  4. Step 4: Simplify right side
    147,209.06x = 54,515,259,817.81
  5. Step 5: Solve for x
    x = 54,515,259,817.81/147,209.06
  6. Step 6: Final answer
    x = 370,325.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.