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Finding the Third Proportional to 140,388 and 223,164

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Solution

The third proportional to 140,388 and 223,164 is: 354,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,388 : 223,164 = 223,164 : x
  2. Step 2: Convert to fraction form
    140,388/223,164 = 223,164/x
  3. Step 3: Cross multiply
    140,388x = 223,164 × 223,164
  4. Step 4: Simplify right side
    140,388x = 49,802,170,896
  5. Step 5: Solve for x
    x = 49,802,170,896/140,388
  6. Step 6: Final answer
    x = 354,746.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.