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Finding the Third Proportional to 112,390 and 239,083

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Solution

The third proportional to 112,390 and 239,083 is: 508,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,390 : 239,083 = 239,083 : x
  2. Step 2: Convert to fraction form
    112,390/239,083 = 239,083/x
  3. Step 3: Cross multiply
    112,390x = 239,083 × 239,083
  4. Step 4: Simplify right side
    112,390x = 57,160,680,889
  5. Step 5: Solve for x
    x = 57,160,680,889/112,390
  6. Step 6: Final answer
    x = 508,592.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.