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Finding the Third Proportional to 164,619 and 245,956.50

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Solution

The third proportional to 164,619 and 245,956.50 is: 367,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,619 : 245,956.50 = 245,956.50 : x
  2. Step 2: Convert to fraction form
    164,619/245,956.50 = 245,956.50/x
  3. Step 3: Cross multiply
    164,619x = 245,956.50 × 245,956.50
  4. Step 4: Simplify right side
    164,619x = 60,494,599,892.25
  5. Step 5: Solve for x
    x = 60,494,599,892.25/164,619
  6. Step 6: Final answer
    x = 367,482.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.