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Finding the Third Proportional to 84,303 and 180,564.75

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Solution

The third proportional to 84,303 and 180,564.75 is: 386,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,303 : 180,564.75 = 180,564.75 : x
  2. Step 2: Convert to fraction form
    84,303/180,564.75 = 180,564.75/x
  3. Step 3: Cross multiply
    84,303x = 180,564.75 × 180,564.75
  4. Step 4: Simplify right side
    84,303x = 32,603,628,942.56
  5. Step 5: Solve for x
    x = 32,603,628,942.56/84,303
  6. Step 6: Final answer
    x = 386,743.40

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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.