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Finding the Third Proportional to 281,148 and 612,212.25

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Solution

The third proportional to 281,148 and 612,212.25 is: 1,333,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,148 : 612,212.25 = 612,212.25 : x
  2. Step 2: Convert to fraction form
    281,148/612,212.25 = 612,212.25/x
  3. Step 3: Cross multiply
    281,148x = 612,212.25 × 612,212.25
  4. Step 4: Simplify right side
    281,148x = 374,803,839,050.06
  5. Step 5: Solve for x
    x = 374,803,839,050.06/281,148
  6. Step 6: Final answer
    x = 1,333,119.35

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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.