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Finding the Third Proportional to 148,980.75 and 191,283.75

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Solution

The third proportional to 148,980.75 and 191,283.75 is: 245,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980.75 : 191,283.75 = 191,283.75 : x
  2. Step 2: Convert to fraction form
    148,980.75/191,283.75 = 191,283.75/x
  3. Step 3: Cross multiply
    148,980.75x = 191,283.75 × 191,283.75
  4. Step 4: Simplify right side
    148,980.75x = 36,589,473,014.06
  5. Step 5: Solve for x
    x = 36,589,473,014.06/148,980.75
  6. Step 6: Final answer
    x = 245,598.66

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.