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Finding the Third Proportional to 147,415.50 and 233,800.50

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Solution

The third proportional to 147,415.50 and 233,800.50 is: 370,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,415.50 : 233,800.50 = 233,800.50 : x
  2. Step 2: Convert to fraction form
    147,415.50/233,800.50 = 233,800.50/x
  3. Step 3: Cross multiply
    147,415.50x = 233,800.50 × 233,800.50
  4. Step 4: Simplify right side
    147,415.50x = 54,662,673,800.25
  5. Step 5: Solve for x
    x = 54,662,673,800.25/147,415.50
  6. Step 6: Final answer
    x = 370,806.83

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.