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Finding the Third Proportional to 183,464.75 and 403,106

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Solution

The third proportional to 183,464.75 and 403,106 is: 885,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,464.75 : 403,106 = 403,106 : x
  2. Step 2: Convert to fraction form
    183,464.75/403,106 = 403,106/x
  3. Step 3: Cross multiply
    183,464.75x = 403,106 × 403,106
  4. Step 4: Simplify right side
    183,464.75x = 162,494,447,236
  5. Step 5: Solve for x
    x = 162,494,447,236/183,464.75
  6. Step 6: Final answer
    x = 885,698.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.