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Finding the Third Proportional to 113,881.50 and 243,527.06

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Solution

The third proportional to 113,881.50 and 243,527.06 is: 520,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,881.50 : 243,527.06 = 243,527.06 : x
  2. Step 2: Convert to fraction form
    113,881.50/243,527.06 = 243,527.06/x
  3. Step 3: Cross multiply
    113,881.50x = 243,527.06 × 243,527.06
  4. Step 4: Simplify right side
    113,881.50x = 59,305,430,169.88
  5. Step 5: Solve for x
    x = 59,305,430,169.88/113,881.50
  6. Step 6: Final answer
    x = 520,764.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.