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Finding the Third Proportional to 117,075 and 248,733

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Solution

The third proportional to 117,075 and 248,733 is: 528,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,075 : 248,733 = 248,733 : x
  2. Step 2: Convert to fraction form
    117,075/248,733 = 248,733/x
  3. Step 3: Cross multiply
    117,075x = 248,733 × 248,733
  4. Step 4: Simplify right side
    117,075x = 61,868,105,289
  5. Step 5: Solve for x
    x = 61,868,105,289/117,075
  6. Step 6: Final answer
    x = 528,448.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.