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Finding the Third Proportional to 113,869.50 and 243,506.50

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Solution

The third proportional to 113,869.50 and 243,506.50 is: 520,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,869.50 : 243,506.50 = 243,506.50 : x
  2. Step 2: Convert to fraction form
    113,869.50/243,506.50 = 243,506.50/x
  3. Step 3: Cross multiply
    113,869.50x = 243,506.50 × 243,506.50
  4. Step 4: Simplify right side
    113,869.50x = 59,295,415,542.25
  5. Step 5: Solve for x
    x = 59,295,415,542.25/113,869.50
  6. Step 6: Final answer
    x = 520,731.32

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