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Finding the Third Proportional to 80,833 and 190,547

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Solution

The third proportional to 80,833 and 190,547 is: 449,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,833 : 190,547 = 190,547 : x
  2. Step 2: Convert to fraction form
    80,833/190,547 = 190,547/x
  3. Step 3: Cross multiply
    80,833x = 190,547 × 190,547
  4. Step 4: Simplify right side
    80,833x = 36,308,159,209
  5. Step 5: Solve for x
    x = 36,308,159,209/80,833
  6. Step 6: Final answer
    x = 449,174.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.