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Finding the Third Proportional to 213,730.75 and 333,535.75

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Solution

The third proportional to 213,730.75 and 333,535.75 is: 520,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,730.75 : 333,535.75 = 333,535.75 : x
  2. Step 2: Convert to fraction form
    213,730.75/333,535.75 = 333,535.75/x
  3. Step 3: Cross multiply
    213,730.75x = 333,535.75 × 333,535.75
  4. Step 4: Simplify right side
    213,730.75x = 111,246,096,528.06
  5. Step 5: Solve for x
    x = 111,246,096,528.06/213,730.75
  6. Step 6: Final answer
    x = 520,496.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.