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Finding the Third Proportional to 191,646 and 274,428

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Solution

The third proportional to 191,646 and 274,428 is: 392,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,646 : 274,428 = 274,428 : x
  2. Step 2: Convert to fraction form
    191,646/274,428 = 274,428/x
  3. Step 3: Cross multiply
    191,646x = 274,428 × 274,428
  4. Step 4: Simplify right side
    191,646x = 75,310,727,184
  5. Step 5: Solve for x
    x = 75,310,727,184/191,646
  6. Step 6: Final answer
    x = 392,967.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.