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Finding the Third Proportional to 233,102.25 and 359,950.50

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Solution

The third proportional to 233,102.25 and 359,950.50 is: 555,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,102.25 : 359,950.50 = 359,950.50 : x
  2. Step 2: Convert to fraction form
    233,102.25/359,950.50 = 359,950.50/x
  3. Step 3: Cross multiply
    233,102.25x = 359,950.50 × 359,950.50
  4. Step 4: Simplify right side
    233,102.25x = 129,564,362,450.25
  5. Step 5: Solve for x
    x = 129,564,362,450.25/233,102.25
  6. Step 6: Final answer
    x = 555,826.31

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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.