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Finding the Third Proportional to 115,504 and 253,072

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Solution

The third proportional to 115,504 and 253,072 is: 554,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,504 : 253,072 = 253,072 : x
  2. Step 2: Convert to fraction form
    115,504/253,072 = 253,072/x
  3. Step 3: Cross multiply
    115,504x = 253,072 × 253,072
  4. Step 4: Simplify right side
    115,504x = 64,045,437,184
  5. Step 5: Solve for x
    x = 64,045,437,184/115,504
  6. Step 6: Final answer
    x = 554,486.75

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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.