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Finding the Third Proportional to 183,213 and 403,697

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Solution

The third proportional to 183,213 and 403,697 is: 889,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,213 : 403,697 = 403,697 : x
  2. Step 2: Convert to fraction form
    183,213/403,697 = 403,697/x
  3. Step 3: Cross multiply
    183,213x = 403,697 × 403,697
  4. Step 4: Simplify right side
    183,213x = 162,971,267,809
  5. Step 5: Solve for x
    x = 162,971,267,809/183,213
  6. Step 6: Final answer
    x = 889,518.04

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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.