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Finding the Third Proportional to 153,019 and 233,913

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Solution

The third proportional to 153,019 and 233,913 is: 357,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,019 : 233,913 = 233,913 : x
  2. Step 2: Convert to fraction form
    153,019/233,913 = 233,913/x
  3. Step 3: Cross multiply
    153,019x = 233,913 × 233,913
  4. Step 4: Simplify right side
    153,019x = 54,715,291,569
  5. Step 5: Solve for x
    x = 54,715,291,569/153,019
  6. Step 6: Final answer
    x = 357,571.88

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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.