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Finding the Third Proportional to 100,340 and 235,052

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Solution

The third proportional to 100,340 and 235,052 is: 550,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,340 : 235,052 = 235,052 : x
  2. Step 2: Convert to fraction form
    100,340/235,052 = 235,052/x
  3. Step 3: Cross multiply
    100,340x = 235,052 × 235,052
  4. Step 4: Simplify right side
    100,340x = 55,249,442,704
  5. Step 5: Solve for x
    x = 55,249,442,704/100,340
  6. Step 6: Final answer
    x = 550,622.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.