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Finding the Third Proportional to 233,647.88 and 350,078.63

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Solution

The third proportional to 233,647.88 and 350,078.63 is: 524,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647.88 : 350,078.63 = 350,078.63 : x
  2. Step 2: Convert to fraction form
    233,647.88/350,078.63 = 350,078.63/x
  3. Step 3: Cross multiply
    233,647.88x = 350,078.63 × 350,078.63
  4. Step 4: Simplify right side
    233,647.88x = 122,555,043,681.89
  5. Step 5: Solve for x
    x = 122,555,043,681.89/233,647.88
  6. Step 6: Final answer
    x = 524,528.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.