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Finding the Third Proportional to 147,777.75 and 234,036

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Solution

The third proportional to 147,777.75 and 234,036 is: 370,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,777.75 : 234,036 = 234,036 : x
  2. Step 2: Convert to fraction form
    147,777.75/234,036 = 234,036/x
  3. Step 3: Cross multiply
    147,777.75x = 234,036 × 234,036
  4. Step 4: Simplify right side
    147,777.75x = 54,772,849,296
  5. Step 5: Solve for x
    x = 54,772,849,296/147,777.75
  6. Step 6: Final answer
    x = 370,643.41

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.