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Finding the Third Proportional to 224,101.69 and 342,685.69

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Solution

The third proportional to 224,101.69 and 342,685.69 is: 524,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,101.69 : 342,685.69 = 342,685.69 : x
  2. Step 2: Convert to fraction form
    224,101.69/342,685.69 = 342,685.69/x
  3. Step 3: Cross multiply
    224,101.69x = 342,685.69 × 342,685.69
  4. Step 4: Simplify right side
    224,101.69x = 117,433,480,417.35
  5. Step 5: Solve for x
    x = 117,433,480,417.35/224,101.69
  6. Step 6: Final answer
    x = 524,018.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.