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Finding the Third Proportional to 144,246 and 223,931

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Solution

The third proportional to 144,246 and 223,931 is: 347,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,246 : 223,931 = 223,931 : x
  2. Step 2: Convert to fraction form
    144,246/223,931 = 223,931/x
  3. Step 3: Cross multiply
    144,246x = 223,931 × 223,931
  4. Step 4: Simplify right side
    144,246x = 50,145,092,761
  5. Step 5: Solve for x
    x = 50,145,092,761/144,246
  6. Step 6: Final answer
    x = 347,635.93

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Why These Related Problems?

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