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Finding the Third Proportional to 160,767 and 236,504.25

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Solution

The third proportional to 160,767 and 236,504.25 is: 347,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,767 : 236,504.25 = 236,504.25 : x
  2. Step 2: Convert to fraction form
    160,767/236,504.25 = 236,504.25/x
  3. Step 3: Cross multiply
    160,767x = 236,504.25 × 236,504.25
  4. Step 4: Simplify right side
    160,767x = 55,934,260,268.06
  5. Step 5: Solve for x
    x = 55,934,260,268.06/160,767
  6. Step 6: Final answer
    x = 347,921.28

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