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Finding the Third Proportional to 281,130.75 and 612,177.75

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Solution

The third proportional to 281,130.75 and 612,177.75 is: 1,333,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,130.75 : 612,177.75 = 612,177.75 : x
  2. Step 2: Convert to fraction form
    281,130.75/612,177.75 = 612,177.75/x
  3. Step 3: Cross multiply
    281,130.75x = 612,177.75 × 612,177.75
  4. Step 4: Simplify right side
    281,130.75x = 374,761,597,595.06
  5. Step 5: Solve for x
    x = 374,761,597,595.06/281,130.75
  6. Step 6: Final answer
    x = 1,333,050.89

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