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Finding the Third Proportional to 160,224 and 235,968

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Solution

The third proportional to 160,224 and 235,968 is: 347,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,224 : 235,968 = 235,968 : x
  2. Step 2: Convert to fraction form
    160,224/235,968 = 235,968/x
  3. Step 3: Cross multiply
    160,224x = 235,968 × 235,968
  4. Step 4: Simplify right side
    160,224x = 55,680,897,024
  5. Step 5: Solve for x
    x = 55,680,897,024/160,224
  6. Step 6: Final answer
    x = 347,519.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.