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Finding the Third Proportional to 236,256.75 and 555,348.38

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Solution

The third proportional to 236,256.75 and 555,348.38 is: 1,305,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,256.75 : 555,348.38 = 555,348.38 : x
  2. Step 2: Convert to fraction form
    236,256.75/555,348.38 = 555,348.38/x
  3. Step 3: Cross multiply
    236,256.75x = 555,348.38 × 555,348.38
  4. Step 4: Simplify right side
    236,256.75x = 308,411,817,615.14
  5. Step 5: Solve for x
    x = 308,411,817,615.14/236,256.75
  6. Step 6: Final answer
    x = 1,305,409.55

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.