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Finding the Third Proportional to 130,450.50 and 176,235.75

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Solution

The third proportional to 130,450.50 and 176,235.75 is: 238,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,450.50 : 176,235.75 = 176,235.75 : x
  2. Step 2: Convert to fraction form
    130,450.50/176,235.75 = 176,235.75/x
  3. Step 3: Cross multiply
    130,450.50x = 176,235.75 × 176,235.75
  4. Step 4: Simplify right side
    130,450.50x = 31,059,039,578.06
  5. Step 5: Solve for x
    x = 31,059,039,578.06/130,450.50
  6. Step 6: Final answer
    x = 238,090.61

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.