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Finding the Third Proportional to 147,802.50 and 227,535.75

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Solution

The third proportional to 147,802.50 and 227,535.75 is: 350,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,802.50 : 227,535.75 = 227,535.75 : x
  2. Step 2: Convert to fraction form
    147,802.50/227,535.75 = 227,535.75/x
  3. Step 3: Cross multiply
    147,802.50x = 227,535.75 × 227,535.75
  4. Step 4: Simplify right side
    147,802.50x = 51,772,517,528.06
  5. Step 5: Solve for x
    x = 51,772,517,528.06/147,802.50
  6. Step 6: Final answer
    x = 350,281.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.