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Finding the Third Proportional to 168,526 and 370,948

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Solution

The third proportional to 168,526 and 370,948 is: 816,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,526 : 370,948 = 370,948 : x
  2. Step 2: Convert to fraction form
    168,526/370,948 = 370,948/x
  3. Step 3: Cross multiply
    168,526x = 370,948 × 370,948
  4. Step 4: Simplify right side
    168,526x = 137,602,418,704
  5. Step 5: Solve for x
    x = 137,602,418,704/168,526
  6. Step 6: Final answer
    x = 816,505.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.