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Finding the Third Proportional to 233,514 and 362,307

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Solution

The third proportional to 233,514 and 362,307 is: 562,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,514 : 362,307 = 362,307 : x
  2. Step 2: Convert to fraction form
    233,514/362,307 = 362,307/x
  3. Step 3: Cross multiply
    233,514x = 362,307 × 362,307
  4. Step 4: Simplify right side
    233,514x = 131,266,362,249
  5. Step 5: Solve for x
    x = 131,266,362,249/233,514
  6. Step 6: Final answer
    x = 562,134.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.