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Finding the Third Proportional to 147,710.50 and 229,152.75

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Solution

The third proportional to 147,710.50 and 229,152.75 is: 355,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,710.50 : 229,152.75 = 229,152.75 : x
  2. Step 2: Convert to fraction form
    147,710.50/229,152.75 = 229,152.75/x
  3. Step 3: Cross multiply
    147,710.50x = 229,152.75 × 229,152.75
  4. Step 4: Simplify right side
    147,710.50x = 52,510,982,832.56
  5. Step 5: Solve for x
    x = 52,510,982,832.56/147,710.50
  6. Step 6: Final answer
    x = 355,499.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.