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Finding the Third Proportional to 151,999 and 233,303

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Solution

The third proportional to 151,999 and 233,303 is: 358,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,999 : 233,303 = 233,303 : x
  2. Step 2: Convert to fraction form
    151,999/233,303 = 233,303/x
  3. Step 3: Cross multiply
    151,999x = 233,303 × 233,303
  4. Step 4: Simplify right side
    151,999x = 54,430,289,809
  5. Step 5: Solve for x
    x = 54,430,289,809/151,999
  6. Step 6: Final answer
    x = 358,096.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.