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Finding the Third Proportional to 223,735.50 and 325,036.50

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Solution

The third proportional to 223,735.50 and 325,036.50 is: 472,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,735.50 : 325,036.50 = 325,036.50 : x
  2. Step 2: Convert to fraction form
    223,735.50/325,036.50 = 325,036.50/x
  3. Step 3: Cross multiply
    223,735.50x = 325,036.50 × 325,036.50
  4. Step 4: Simplify right side
    223,735.50x = 105,648,726,332.25
  5. Step 5: Solve for x
    x = 105,648,726,332.25/223,735.50
  6. Step 6: Final answer
    x = 472,203.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.