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Finding the Third Proportional to 164,490.75 and 241,033

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Solution

The third proportional to 164,490.75 and 241,033 is: 353,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,490.75 : 241,033 = 241,033 : x
  2. Step 2: Convert to fraction form
    164,490.75/241,033 = 241,033/x
  3. Step 3: Cross multiply
    164,490.75x = 241,033 × 241,033
  4. Step 4: Simplify right side
    164,490.75x = 58,096,907,089
  5. Step 5: Solve for x
    x = 58,096,907,089/164,490.75
  6. Step 6: Final answer
    x = 353,192.55

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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.