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Finding the Third Proportional to 155,041 and 333,746

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Solution

The third proportional to 155,041 and 333,746 is: 718,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,041 : 333,746 = 333,746 : x
  2. Step 2: Convert to fraction form
    155,041/333,746 = 333,746/x
  3. Step 3: Cross multiply
    155,041x = 333,746 × 333,746
  4. Step 4: Simplify right side
    155,041x = 111,386,392,516
  5. Step 5: Solve for x
    x = 111,386,392,516/155,041
  6. Step 6: Final answer
    x = 718,431.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.