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Finding the Third Proportional to 131,468 and 287,813

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Solution

The third proportional to 131,468 and 287,813 is: 630,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,468 : 287,813 = 287,813 : x
  2. Step 2: Convert to fraction form
    131,468/287,813 = 287,813/x
  3. Step 3: Cross multiply
    131,468x = 287,813 × 287,813
  4. Step 4: Simplify right side
    131,468x = 82,836,322,969
  5. Step 5: Solve for x
    x = 82,836,322,969/131,468
  6. Step 6: Final answer
    x = 630,087.34

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Why These Related Problems?

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