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Finding the Third Proportional to 160,324 and 235,878

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Solution

The third proportional to 160,324 and 235,878 is: 347,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,324 : 235,878 = 235,878 : x
  2. Step 2: Convert to fraction form
    160,324/235,878 = 235,878/x
  3. Step 3: Cross multiply
    160,324x = 235,878 × 235,878
  4. Step 4: Simplify right side
    160,324x = 55,638,430,884
  5. Step 5: Solve for x
    x = 55,638,430,884/160,324
  6. Step 6: Final answer
    x = 347,037.44

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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.