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Finding the Third Proportional to 134,711.23 and 224,509.22

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Solution

The third proportional to 134,711.23 and 224,509.22 is: 374,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,711.23 : 224,509.22 = 224,509.22 : x
  2. Step 2: Convert to fraction form
    134,711.23/224,509.22 = 224,509.22/x
  3. Step 3: Cross multiply
    134,711.23x = 224,509.22 × 224,509.22
  4. Step 4: Simplify right side
    134,711.23x = 50,404,389,303.74
  5. Step 5: Solve for x
    x = 50,404,389,303.74/134,711.23
  6. Step 6: Final answer
    x = 374,166.21

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Why These Related Problems?

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