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Finding the Third Proportional to 189,968 and 282,024

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Solution

The third proportional to 189,968 and 282,024 is: 418,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,968 : 282,024 = 282,024 : x
  2. Step 2: Convert to fraction form
    189,968/282,024 = 282,024/x
  3. Step 3: Cross multiply
    189,968x = 282,024 × 282,024
  4. Step 4: Simplify right side
    189,968x = 79,537,536,576
  5. Step 5: Solve for x
    x = 79,537,536,576/189,968
  6. Step 6: Final answer
    x = 418,689.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.