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Finding the Third Proportional to 131,894 and 292,252

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Solution

The third proportional to 131,894 and 292,252 is: 647,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,894 : 292,252 = 292,252 : x
  2. Step 2: Convert to fraction form
    131,894/292,252 = 292,252/x
  3. Step 3: Cross multiply
    131,894x = 292,252 × 292,252
  4. Step 4: Simplify right side
    131,894x = 85,411,231,504
  5. Step 5: Solve for x
    x = 85,411,231,504/131,894
  6. Step 6: Final answer
    x = 647,574.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.