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Finding the Third Proportional to 233,170.50 and 503,121

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Solution

The third proportional to 233,170.50 and 503,121 is: 1,085,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,170.50 : 503,121 = 503,121 : x
  2. Step 2: Convert to fraction form
    233,170.50/503,121 = 503,121/x
  3. Step 3: Cross multiply
    233,170.50x = 503,121 × 503,121
  4. Step 4: Simplify right side
    233,170.50x = 253,130,740,641
  5. Step 5: Solve for x
    x = 253,130,740,641/233,170.50
  6. Step 6: Final answer
    x = 1,085,603.63

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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.