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Finding the Third Proportional to 161,038.50 and 236,004

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Solution

The third proportional to 161,038.50 and 236,004 is: 345,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,038.50 : 236,004 = 236,004 : x
  2. Step 2: Convert to fraction form
    161,038.50/236,004 = 236,004/x
  3. Step 3: Cross multiply
    161,038.50x = 236,004 × 236,004
  4. Step 4: Simplify right side
    161,038.50x = 55,697,888,016
  5. Step 5: Solve for x
    x = 55,697,888,016/161,038.50
  6. Step 6: Final answer
    x = 345,866.91

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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.