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Finding the Third Proportional to 221,393.25 and 458,541

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Solution

The third proportional to 221,393.25 and 458,541 is: 949,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,393.25 : 458,541 = 458,541 : x
  2. Step 2: Convert to fraction form
    221,393.25/458,541 = 458,541/x
  3. Step 3: Cross multiply
    221,393.25x = 458,541 × 458,541
  4. Step 4: Simplify right side
    221,393.25x = 210,259,848,681
  5. Step 5: Solve for x
    x = 210,259,848,681/221,393.25
  6. Step 6: Final answer
    x = 949,712.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.