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Finding the Third Proportional to 183,905 and 281,203

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Solution

The third proportional to 183,905 and 281,203 is: 429,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,905 : 281,203 = 281,203 : x
  2. Step 2: Convert to fraction form
    183,905/281,203 = 281,203/x
  3. Step 3: Cross multiply
    183,905x = 281,203 × 281,203
  4. Step 4: Simplify right side
    183,905x = 79,075,127,209
  5. Step 5: Solve for x
    x = 79,075,127,209/183,905
  6. Step 6: Final answer
    x = 429,978.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.