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Finding the Third Proportional to 189,194 and 292,953

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Solution

The third proportional to 189,194 and 292,953 is: 453,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,194 : 292,953 = 292,953 : x
  2. Step 2: Convert to fraction form
    189,194/292,953 = 292,953/x
  3. Step 3: Cross multiply
    189,194x = 292,953 × 292,953
  4. Step 4: Simplify right side
    189,194x = 85,821,460,209
  5. Step 5: Solve for x
    x = 85,821,460,209/189,194
  6. Step 6: Final answer
    x = 453,616.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.