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Finding the Third Proportional to 191,888 and 287,833

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Solution

The third proportional to 191,888 and 287,833 is: 431,751.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,888 : 287,833 = 287,833 : x
  2. Step 2: Convert to fraction form
    191,888/287,833 = 287,833/x
  3. Step 3: Cross multiply
    191,888x = 287,833 × 287,833
  4. Step 4: Simplify right side
    191,888x = 82,847,835,889
  5. Step 5: Solve for x
    x = 82,847,835,889/191,888
  6. Step 6: Final answer
    x = 431,751.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.