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Finding the Third Proportional to 194,569 and 426,043

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Solution

The third proportional to 194,569 and 426,043 is: 932,895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,569 : 426,043 = 426,043 : x
  2. Step 2: Convert to fraction form
    194,569/426,043 = 426,043/x
  3. Step 3: Cross multiply
    194,569x = 426,043 × 426,043
  4. Step 4: Simplify right side
    194,569x = 181,512,637,849
  5. Step 5: Solve for x
    x = 181,512,637,849/194,569
  6. Step 6: Final answer
    x = 932,895.98

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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.