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Finding the Third Proportional to 116,426 and 254,648

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Solution

The third proportional to 116,426 and 254,648 is: 556,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,426 : 254,648 = 254,648 : x
  2. Step 2: Convert to fraction form
    116,426/254,648 = 254,648/x
  3. Step 3: Cross multiply
    116,426x = 254,648 × 254,648
  4. Step 4: Simplify right side
    116,426x = 64,845,603,904
  5. Step 5: Solve for x
    x = 64,845,603,904/116,426
  6. Step 6: Final answer
    x = 556,968.41

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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.