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Finding the Third Proportional to 134,444 and 282,648

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Solution

The third proportional to 134,444 and 282,648 is: 594,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,444 : 282,648 = 282,648 : x
  2. Step 2: Convert to fraction form
    134,444/282,648 = 282,648/x
  3. Step 3: Cross multiply
    134,444x = 282,648 × 282,648
  4. Step 4: Simplify right side
    134,444x = 79,889,891,904
  5. Step 5: Solve for x
    x = 79,889,891,904/134,444
  6. Step 6: Final answer
    x = 594,224.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.