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Finding the Third Proportional to 113,541.75 and 234,373.50

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Solution

The third proportional to 113,541.75 and 234,373.50 is: 483,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,541.75 : 234,373.50 = 234,373.50 : x
  2. Step 2: Convert to fraction form
    113,541.75/234,373.50 = 234,373.50/x
  3. Step 3: Cross multiply
    113,541.75x = 234,373.50 × 234,373.50
  4. Step 4: Simplify right side
    113,541.75x = 54,930,937,502.25
  5. Step 5: Solve for x
    x = 54,930,937,502.25/113,541.75
  6. Step 6: Final answer
    x = 483,795.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.