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Finding the Third Proportional to 194,368.50 and 418,545

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Solution

The third proportional to 194,368.50 and 418,545 is: 901,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,368.50 : 418,545 = 418,545 : x
  2. Step 2: Convert to fraction form
    194,368.50/418,545 = 418,545/x
  3. Step 3: Cross multiply
    194,368.50x = 418,545 × 418,545
  4. Step 4: Simplify right side
    194,368.50x = 175,179,917,025
  5. Step 5: Solve for x
    x = 175,179,917,025/194,368.50
  6. Step 6: Final answer
    x = 901,277.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.