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Finding the Third Proportional to 183,447 and 402,977.25

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Solution

The third proportional to 183,447 and 402,977.25 is: 885,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,447 : 402,977.25 = 402,977.25 : x
  2. Step 2: Convert to fraction form
    183,447/402,977.25 = 402,977.25/x
  3. Step 3: Cross multiply
    183,447x = 402,977.25 × 402,977.25
  4. Step 4: Simplify right side
    183,447x = 162,390,664,017.56
  5. Step 5: Solve for x
    x = 162,390,664,017.56/183,447
  6. Step 6: Final answer
    x = 885,218.42

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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.