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Finding the Third Proportional to 148,998 and 233,097

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Solution

The third proportional to 148,998 and 233,097 is: 364,664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,998 : 233,097 = 233,097 : x
  2. Step 2: Convert to fraction form
    148,998/233,097 = 233,097/x
  3. Step 3: Cross multiply
    148,998x = 233,097 × 233,097
  4. Step 4: Simplify right side
    148,998x = 54,334,211,409
  5. Step 5: Solve for x
    x = 54,334,211,409/148,998
  6. Step 6: Final answer
    x = 364,664.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.