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Finding the Third Proportional to 174,076.50 and 234,870.50

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Solution

The third proportional to 174,076.50 and 234,870.50 is: 316,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,076.50 : 234,870.50 = 234,870.50 : x
  2. Step 2: Convert to fraction form
    174,076.50/234,870.50 = 234,870.50/x
  3. Step 3: Cross multiply
    174,076.50x = 234,870.50 × 234,870.50
  4. Step 4: Simplify right side
    174,076.50x = 55,164,151,770.25
  5. Step 5: Solve for x
    x = 55,164,151,770.25/174,076.50
  6. Step 6: Final answer
    x = 316,896.03

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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.