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Finding the Third Proportional to 131,461 and 287,795

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Solution

The third proportional to 131,461 and 287,795 is: 630,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,461 : 287,795 = 287,795 : x
  2. Step 2: Convert to fraction form
    131,461/287,795 = 287,795/x
  3. Step 3: Cross multiply
    131,461x = 287,795 × 287,795
  4. Step 4: Simplify right side
    131,461x = 82,825,962,025
  5. Step 5: Solve for x
    x = 82,825,962,025/131,461
  6. Step 6: Final answer
    x = 630,042.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.