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Finding the Third Proportional to 211,880.81 and 314,155.97

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Solution

The third proportional to 211,880.81 and 314,155.97 is: 465,799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,880.81 : 314,155.97 = 314,155.97 : x
  2. Step 2: Convert to fraction form
    211,880.81/314,155.97 = 314,155.97/x
  3. Step 3: Cross multiply
    211,880.81x = 314,155.97 × 314,155.97
  4. Step 4: Simplify right side
    211,880.81x = 98,693,972,701.25
  5. Step 5: Solve for x
    x = 98,693,972,701.25/211,880.81
  6. Step 6: Final answer
    x = 465,799.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.