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Finding the Third Proportional to 183,106 and 282,955

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Solution

The third proportional to 183,106 and 282,955 is: 437,252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,106 : 282,955 = 282,955 : x
  2. Step 2: Convert to fraction form
    183,106/282,955 = 282,955/x
  3. Step 3: Cross multiply
    183,106x = 282,955 × 282,955
  4. Step 4: Simplify right side
    183,106x = 80,063,532,025
  5. Step 5: Solve for x
    x = 80,063,532,025/183,106
  6. Step 6: Final answer
    x = 437,252.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.