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Finding the Third Proportional to 168,246 and 370,633.50

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Solution

The third proportional to 168,246 and 370,633.50 is: 816,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,246 : 370,633.50 = 370,633.50 : x
  2. Step 2: Convert to fraction form
    168,246/370,633.50 = 370,633.50/x
  3. Step 3: Cross multiply
    168,246x = 370,633.50 × 370,633.50
  4. Step 4: Simplify right side
    168,246x = 137,369,191,322.25
  5. Step 5: Solve for x
    x = 137,369,191,322.25/168,246
  6. Step 6: Final answer
    x = 816,478.20

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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.