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Finding the Third Proportional to 230,080 and 492,145

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Solution

The third proportional to 230,080 and 492,145 is: 1,052,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,080 : 492,145 = 492,145 : x
  2. Step 2: Convert to fraction form
    230,080/492,145 = 492,145/x
  3. Step 3: Cross multiply
    230,080x = 492,145 × 492,145
  4. Step 4: Simplify right side
    230,080x = 242,206,701,025
  5. Step 5: Solve for x
    x = 242,206,701,025/230,080
  6. Step 6: Final answer
    x = 1,052,706.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.