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Finding the Third Proportional to 233,173 and 503,125

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Solution

The third proportional to 233,173 and 503,125 is: 1,085,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,173 : 503,125 = 503,125 : x
  2. Step 2: Convert to fraction form
    233,173/503,125 = 503,125/x
  3. Step 3: Cross multiply
    233,173x = 503,125 × 503,125
  4. Step 4: Simplify right side
    233,173x = 253,134,765,625
  5. Step 5: Solve for x
    x = 253,134,765,625/233,173
  6. Step 6: Final answer
    x = 1,085,609.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.