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Finding the Third Proportional to 153,762 and 333,764

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Solution

The third proportional to 153,762 and 333,764 is: 724,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,762 : 333,764 = 333,764 : x
  2. Step 2: Convert to fraction form
    153,762/333,764 = 333,764/x
  3. Step 3: Cross multiply
    153,762x = 333,764 × 333,764
  4. Step 4: Simplify right side
    153,762x = 111,398,407,696
  5. Step 5: Solve for x
    x = 111,398,407,696/153,762
  6. Step 6: Final answer
    x = 724,485.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.