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Finding the Third Proportional to 225,924.19 and 349,823.81

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Solution

The third proportional to 225,924.19 and 349,823.81 is: 541,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,924.19 : 349,823.81 = 349,823.81 : x
  2. Step 2: Convert to fraction form
    225,924.19/349,823.81 = 349,823.81/x
  3. Step 3: Cross multiply
    225,924.19x = 349,823.81 × 349,823.81
  4. Step 4: Simplify right side
    225,924.19x = 122,376,699,792.04
  5. Step 5: Solve for x
    x = 122,376,699,792.04/225,924.19
  6. Step 6: Final answer
    x = 541,671.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.