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Finding the Third Proportional to 141,191 and 310,030

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Solution

The third proportional to 141,191 and 310,030 is: 680,770.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,191 : 310,030 = 310,030 : x
  2. Step 2: Convert to fraction form
    141,191/310,030 = 310,030/x
  3. Step 3: Cross multiply
    141,191x = 310,030 × 310,030
  4. Step 4: Simplify right side
    141,191x = 96,118,600,900
  5. Step 5: Solve for x
    x = 96,118,600,900/141,191
  6. Step 6: Final answer
    x = 680,770.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.