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Finding the Third Proportional to 153,026 and 233,923

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Solution

The third proportional to 153,026 and 233,923 is: 357,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,026 : 233,923 = 233,923 : x
  2. Step 2: Convert to fraction form
    153,026/233,923 = 233,923/x
  3. Step 3: Cross multiply
    153,026x = 233,923 × 233,923
  4. Step 4: Simplify right side
    153,026x = 54,719,969,929
  5. Step 5: Solve for x
    x = 54,719,969,929/153,026
  6. Step 6: Final answer
    x = 357,586.10

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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.