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Finding the Third Proportional to 164,641.50 and 241,110

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Solution

The third proportional to 164,641.50 and 241,110 is: 353,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,641.50 : 241,110 = 241,110 : x
  2. Step 2: Convert to fraction form
    164,641.50/241,110 = 241,110/x
  3. Step 3: Cross multiply
    164,641.50x = 241,110 × 241,110
  4. Step 4: Simplify right side
    164,641.50x = 58,134,032,100
  5. Step 5: Solve for x
    x = 58,134,032,100/164,641.50
  6. Step 6: Final answer
    x = 353,094.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.