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Finding the Third Proportional to 195,334 and 292,946

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Solution

The third proportional to 195,334 and 292,946 is: 439,336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,334 : 292,946 = 292,946 : x
  2. Step 2: Convert to fraction form
    195,334/292,946 = 292,946/x
  3. Step 3: Cross multiply
    195,334x = 292,946 × 292,946
  4. Step 4: Simplify right side
    195,334x = 85,817,358,916
  5. Step 5: Solve for x
    x = 85,817,358,916/195,334
  6. Step 6: Final answer
    x = 439,336.52

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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.