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Finding the Third Proportional to 191,568 and 306,030

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Solution

The third proportional to 191,568 and 306,030 is: 488,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,568 : 306,030 = 306,030 : x
  2. Step 2: Convert to fraction form
    191,568/306,030 = 306,030/x
  3. Step 3: Cross multiply
    191,568x = 306,030 × 306,030
  4. Step 4: Simplify right side
    191,568x = 93,654,360,900
  5. Step 5: Solve for x
    x = 93,654,360,900/191,568
  6. Step 6: Final answer
    x = 488,883.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.