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Finding the Third Proportional to 109,050 and 234,798

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Solution

The third proportional to 109,050 and 234,798 is: 505,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,050 : 234,798 = 234,798 : x
  2. Step 2: Convert to fraction form
    109,050/234,798 = 234,798/x
  3. Step 3: Cross multiply
    109,050x = 234,798 × 234,798
  4. Step 4: Simplify right side
    109,050x = 55,130,100,804
  5. Step 5: Solve for x
    x = 55,130,100,804/109,050
  6. Step 6: Final answer
    x = 505,548.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.