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Finding the Third Proportional to 106,467 and 177,444.50

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Solution

The third proportional to 106,467 and 177,444.50 is: 295,740.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,467 : 177,444.50 = 177,444.50 : x
  2. Step 2: Convert to fraction form
    106,467/177,444.50 = 177,444.50/x
  3. Step 3: Cross multiply
    106,467x = 177,444.50 × 177,444.50
  4. Step 4: Simplify right side
    106,467x = 31,486,550,580.25
  5. Step 5: Solve for x
    x = 31,486,550,580.25/106,467
  6. Step 6: Final answer
    x = 295,740.00

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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.