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Finding the Third Proportional to 117,804 and 245,544

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Solution

The third proportional to 117,804 and 245,544 is: 511,798.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,804 : 245,544 = 245,544 : x
  2. Step 2: Convert to fraction form
    117,804/245,544 = 245,544/x
  3. Step 3: Cross multiply
    117,804x = 245,544 × 245,544
  4. Step 4: Simplify right side
    117,804x = 60,291,855,936
  5. Step 5: Solve for x
    x = 60,291,855,936/117,804
  6. Step 6: Final answer
    x = 511,798.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.