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Finding the Third Proportional to 186,769 and 431,930.50

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Solution

The third proportional to 186,769 and 431,930.50 is: 998,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,769 : 431,930.50 = 431,930.50 : x
  2. Step 2: Convert to fraction form
    186,769/431,930.50 = 431,930.50/x
  3. Step 3: Cross multiply
    186,769x = 431,930.50 × 431,930.50
  4. Step 4: Simplify right side
    186,769x = 186,563,956,830.25
  5. Step 5: Solve for x
    x = 186,563,956,830.25/186,769
  6. Step 6: Final answer
    x = 998,902.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.