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Finding the Third Proportional to 152,621 and 233,469

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Solution

The third proportional to 152,621 and 233,469 is: 357,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,621 : 233,469 = 233,469 : x
  2. Step 2: Convert to fraction form
    152,621/233,469 = 233,469/x
  3. Step 3: Cross multiply
    152,621x = 233,469 × 233,469
  4. Step 4: Simplify right side
    152,621x = 54,507,773,961
  5. Step 5: Solve for x
    x = 54,507,773,961/152,621
  6. Step 6: Final answer
    x = 357,144.65

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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.