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Finding the Third Proportional to 105,025 and 230,460

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Solution

The third proportional to 105,025 and 230,460 is: 505,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,025 : 230,460 = 230,460 : x
  2. Step 2: Convert to fraction form
    105,025/230,460 = 230,460/x
  3. Step 3: Cross multiply
    105,025x = 230,460 × 230,460
  4. Step 4: Simplify right side
    105,025x = 53,111,811,600
  5. Step 5: Solve for x
    x = 53,111,811,600/105,025
  6. Step 6: Final answer
    x = 505,706.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.