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Finding the Third Proportional to 233,150.63 and 360,033.75

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Solution

The third proportional to 233,150.63 and 360,033.75 is: 555,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,150.63 : 360,033.75 = 360,033.75 : x
  2. Step 2: Convert to fraction form
    233,150.63/360,033.75 = 360,033.75/x
  3. Step 3: Cross multiply
    233,150.63x = 360,033.75 × 360,033.75
  4. Step 4: Simplify right side
    233,150.63x = 129,624,301,139.06
  5. Step 5: Solve for x
    x = 129,624,301,139.06/233,150.63
  6. Step 6: Final answer
    x = 555,968.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.