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Finding the Third Proportional to 194,005 and 289,813

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Solution

The third proportional to 194,005 and 289,813 is: 432,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,005 : 289,813 = 289,813 : x
  2. Step 2: Convert to fraction form
    194,005/289,813 = 289,813/x
  3. Step 3: Cross multiply
    194,005x = 289,813 × 289,813
  4. Step 4: Simplify right side
    194,005x = 83,991,574,969
  5. Step 5: Solve for x
    x = 83,991,574,969/194,005
  6. Step 6: Final answer
    x = 432,935.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.