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Finding the Third Proportional to 141,828 and 209,941.50

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Solution

The third proportional to 141,828 and 209,941.50 is: 310,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,828 : 209,941.50 = 209,941.50 : x
  2. Step 2: Convert to fraction form
    141,828/209,941.50 = 209,941.50/x
  3. Step 3: Cross multiply
    141,828x = 209,941.50 × 209,941.50
  4. Step 4: Simplify right side
    141,828x = 44,075,433,422.25
  5. Step 5: Solve for x
    x = 44,075,433,422.25/141,828
  6. Step 6: Final answer
    x = 310,766.80

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.