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Finding the Third Proportional to 109,005 and 234,709.50

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Solution

The third proportional to 109,005 and 234,709.50 is: 505,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,005 : 234,709.50 = 234,709.50 : x
  2. Step 2: Convert to fraction form
    109,005/234,709.50 = 234,709.50/x
  3. Step 3: Cross multiply
    109,005x = 234,709.50 × 234,709.50
  4. Step 4: Simplify right side
    109,005x = 55,088,549,390.25
  5. Step 5: Solve for x
    x = 55,088,549,390.25/109,005
  6. Step 6: Final answer
    x = 505,376.35

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