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Finding the Third Proportional to 159,219 and 235,851.75

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Solution

The third proportional to 159,219 and 235,851.75 is: 349,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,219 : 235,851.75 = 235,851.75 : x
  2. Step 2: Convert to fraction form
    159,219/235,851.75 = 235,851.75/x
  3. Step 3: Cross multiply
    159,219x = 235,851.75 × 235,851.75
  4. Step 4: Simplify right side
    159,219x = 55,626,047,978.06
  5. Step 5: Solve for x
    x = 55,626,047,978.06/159,219
  6. Step 6: Final answer
    x = 349,368.15

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.