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Finding the Third Proportional to 183,504 and 282,138

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Solution

The third proportional to 183,504 and 282,138 is: 433,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,504 : 282,138 = 282,138 : x
  2. Step 2: Convert to fraction form
    183,504/282,138 = 282,138/x
  3. Step 3: Cross multiply
    183,504x = 282,138 × 282,138
  4. Step 4: Simplify right side
    183,504x = 79,601,851,044
  5. Step 5: Solve for x
    x = 79,601,851,044/183,504
  6. Step 6: Final answer
    x = 433,788.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.