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Finding the Third Proportional to 131,460 and 287,797

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Solution

The third proportional to 131,460 and 287,797 is: 630,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,460 : 287,797 = 287,797 : x
  2. Step 2: Convert to fraction form
    131,460/287,797 = 287,797/x
  3. Step 3: Cross multiply
    131,460x = 287,797 × 287,797
  4. Step 4: Simplify right side
    131,460x = 82,827,113,209
  5. Step 5: Solve for x
    x = 82,827,113,209/131,460
  6. Step 6: Final answer
    x = 630,055.63

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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.