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Finding the Third Proportional to 231,703.50 and 501,255

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Solution

The third proportional to 231,703.50 and 501,255 is: 1,084,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,703.50 : 501,255 = 501,255 : x
  2. Step 2: Convert to fraction form
    231,703.50/501,255 = 501,255/x
  3. Step 3: Cross multiply
    231,703.50x = 501,255 × 501,255
  4. Step 4: Simplify right side
    231,703.50x = 251,256,575,025
  5. Step 5: Solve for x
    x = 251,256,575,025/231,703.50
  6. Step 6: Final answer
    x = 1,084,388.35

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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.