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Finding the Third Proportional to 134,712.19 and 224,510.81

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Solution

The third proportional to 134,712.19 and 224,510.81 is: 374,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,712.19 : 224,510.81 = 224,510.81 : x
  2. Step 2: Convert to fraction form
    134,712.19/224,510.81 = 224,510.81/x
  3. Step 3: Cross multiply
    134,712.19x = 224,510.81 × 224,510.81
  4. Step 4: Simplify right side
    134,712.19x = 50,405,104,929.41
  5. Step 5: Solve for x
    x = 50,405,104,929.41/134,712.19
  6. Step 6: Final answer
    x = 374,168.85

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.