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Finding the Third Proportional to 153,633 and 335,404.50

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Solution

The third proportional to 153,633 and 335,404.50 is: 732,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,633 : 335,404.50 = 335,404.50 : x
  2. Step 2: Convert to fraction form
    153,633/335,404.50 = 335,404.50/x
  3. Step 3: Cross multiply
    153,633x = 335,404.50 × 335,404.50
  4. Step 4: Simplify right side
    153,633x = 112,496,178,620.25
  5. Step 5: Solve for x
    x = 112,496,178,620.25/153,633
  6. Step 6: Final answer
    x = 732,239.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.