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Finding the Third Proportional to 223,138 and 312,102

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Solution

The third proportional to 223,138 and 312,102 is: 436,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,138 : 312,102 = 312,102 : x
  2. Step 2: Convert to fraction form
    223,138/312,102 = 312,102/x
  3. Step 3: Cross multiply
    223,138x = 312,102 × 312,102
  4. Step 4: Simplify right side
    223,138x = 97,407,658,404
  5. Step 5: Solve for x
    x = 97,407,658,404/223,138
  6. Step 6: Final answer
    x = 436,535.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.