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Finding the Third Proportional to 160,789.50 and 347,004

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Solution

The third proportional to 160,789.50 and 347,004 is: 748,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,789.50 : 347,004 = 347,004 : x
  2. Step 2: Convert to fraction form
    160,789.50/347,004 = 347,004/x
  3. Step 3: Cross multiply
    160,789.50x = 347,004 × 347,004
  4. Step 4: Simplify right side
    160,789.50x = 120,411,776,016
  5. Step 5: Solve for x
    x = 120,411,776,016/160,789.50
  6. Step 6: Final answer
    x = 748,878.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.