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Finding the Third Proportional to 217,055.25 and 465,258.38

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Solution

The third proportional to 217,055.25 and 465,258.38 is: 997,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,055.25 : 465,258.38 = 465,258.38 : x
  2. Step 2: Convert to fraction form
    217,055.25/465,258.38 = 465,258.38/x
  3. Step 3: Cross multiply
    217,055.25x = 465,258.38 × 465,258.38
  4. Step 4: Simplify right side
    217,055.25x = 216,465,355,507.64
  5. Step 5: Solve for x
    x = 216,465,355,507.64/217,055.25
  6. Step 6: Final answer
    x = 997,282.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.