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Finding the Third Proportional to 223,683.75 and 338,783.63

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Solution

The third proportional to 223,683.75 and 338,783.63 is: 513,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,683.75 : 338,783.63 = 338,783.63 : x
  2. Step 2: Convert to fraction form
    223,683.75/338,783.63 = 338,783.63/x
  3. Step 3: Cross multiply
    223,683.75x = 338,783.63 × 338,783.63
  4. Step 4: Simplify right side
    223,683.75x = 114,774,344,568.14
  5. Step 5: Solve for x
    x = 114,774,344,568.14/223,683.75
  6. Step 6: Final answer
    x = 513,109.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.