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Finding the Third Proportional to 152,410.50 and 333,859.50

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Solution

The third proportional to 152,410.50 and 333,859.50 is: 731,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,410.50 : 333,859.50 = 333,859.50 : x
  2. Step 2: Convert to fraction form
    152,410.50/333,859.50 = 333,859.50/x
  3. Step 3: Cross multiply
    152,410.50x = 333,859.50 × 333,859.50
  4. Step 4: Simplify right side
    152,410.50x = 111,462,165,740.25
  5. Step 5: Solve for x
    x = 111,462,165,740.25/152,410.50
  6. Step 6: Final answer
    x = 731,328.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.