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Finding the Third Proportional to 115,714.50 and 253,623

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Solution

The third proportional to 115,714.50 and 253,623 is: 555,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,714.50 : 253,623 = 253,623 : x
  2. Step 2: Convert to fraction form
    115,714.50/253,623 = 253,623/x
  3. Step 3: Cross multiply
    115,714.50x = 253,623 × 253,623
  4. Step 4: Simplify right side
    115,714.50x = 64,324,626,129
  5. Step 5: Solve for x
    x = 64,324,626,129/115,714.50
  6. Step 6: Final answer
    x = 555,890.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.