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Finding the Third Proportional to 112,948 and 235,252

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Solution

The third proportional to 112,948 and 235,252 is: 489,991.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,948 : 235,252 = 235,252 : x
  2. Step 2: Convert to fraction form
    112,948/235,252 = 235,252/x
  3. Step 3: Cross multiply
    112,948x = 235,252 × 235,252
  4. Step 4: Simplify right side
    112,948x = 55,343,503,504
  5. Step 5: Solve for x
    x = 55,343,503,504/112,948
  6. Step 6: Final answer
    x = 489,991.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.