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Finding the Third Proportional to 236,709 and 357,520.50

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Solution

The third proportional to 236,709 and 357,520.50 is: 539,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,709 : 357,520.50 = 357,520.50 : x
  2. Step 2: Convert to fraction form
    236,709/357,520.50 = 357,520.50/x
  3. Step 3: Cross multiply
    236,709x = 357,520.50 × 357,520.50
  4. Step 4: Simplify right side
    236,709x = 127,820,907,920.25
  5. Step 5: Solve for x
    x = 127,820,907,920.25/236,709
  6. Step 6: Final answer
    x = 539,991.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.