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Finding the Third Proportional to 155,103 and 233,950.50

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Solution

The third proportional to 155,103 and 233,950.50 is: 352,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,103 : 233,950.50 = 233,950.50 : x
  2. Step 2: Convert to fraction form
    155,103/233,950.50 = 233,950.50/x
  3. Step 3: Cross multiply
    155,103x = 233,950.50 × 233,950.50
  4. Step 4: Simplify right side
    155,103x = 54,732,836,450.25
  5. Step 5: Solve for x
    x = 54,732,836,450.25/155,103
  6. Step 6: Final answer
    x = 352,880.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.