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Finding the Third Proportional to 113,065.50 and 235,434

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Solution

The third proportional to 113,065.50 and 235,434 is: 490,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,065.50 : 235,434 = 235,434 : x
  2. Step 2: Convert to fraction form
    113,065.50/235,434 = 235,434/x
  3. Step 3: Cross multiply
    113,065.50x = 235,434 × 235,434
  4. Step 4: Simplify right side
    113,065.50x = 55,429,168,356
  5. Step 5: Solve for x
    x = 55,429,168,356/113,065.50
  6. Step 6: Final answer
    x = 490,239.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.