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Finding the Third Proportional to 164,577.75 and 245,790

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Solution

The third proportional to 164,577.75 and 245,790 is: 367,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,577.75 : 245,790 = 245,790 : x
  2. Step 2: Convert to fraction form
    164,577.75/245,790 = 245,790/x
  3. Step 3: Cross multiply
    164,577.75x = 245,790 × 245,790
  4. Step 4: Simplify right side
    164,577.75x = 60,412,724,100
  5. Step 5: Solve for x
    x = 60,412,724,100/164,577.75
  6. Step 6: Final answer
    x = 367,077.11

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