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Finding the Third Proportional to 131,004 and 202,909.50

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Solution

The third proportional to 131,004 and 202,909.50 is: 314,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,004 : 202,909.50 = 202,909.50 : x
  2. Step 2: Convert to fraction form
    131,004/202,909.50 = 202,909.50/x
  3. Step 3: Cross multiply
    131,004x = 202,909.50 × 202,909.50
  4. Step 4: Simplify right side
    131,004x = 41,172,265,190.25
  5. Step 5: Solve for x
    x = 41,172,265,190.25/131,004
  6. Step 6: Final answer
    x = 314,282.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.