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Finding the Third Proportional to 105,639 and 230,232

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Solution

The third proportional to 105,639 and 230,232 is: 501,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,639 : 230,232 = 230,232 : x
  2. Step 2: Convert to fraction form
    105,639/230,232 = 230,232/x
  3. Step 3: Cross multiply
    105,639x = 230,232 × 230,232
  4. Step 4: Simplify right side
    105,639x = 53,006,773,824
  5. Step 5: Solve for x
    x = 53,006,773,824/105,639
  6. Step 6: Final answer
    x = 501,772.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.