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Finding the Third Proportional to 114,763.50 and 243,165.38

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Solution

The third proportional to 114,763.50 and 243,165.38 is: 515,228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,763.50 : 243,165.38 = 243,165.38 : x
  2. Step 2: Convert to fraction form
    114,763.50/243,165.38 = 243,165.38/x
  3. Step 3: Cross multiply
    114,763.50x = 243,165.38 × 243,165.38
  4. Step 4: Simplify right side
    114,763.50x = 59,129,399,598.89
  5. Step 5: Solve for x
    x = 59,129,399,598.89/114,763.50
  6. Step 6: Final answer
    x = 515,228.27

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.