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Finding the Third Proportional to 198,368 and 302,196

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Solution

The third proportional to 198,368 and 302,196 is: 460,368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,368 : 302,196 = 302,196 : x
  2. Step 2: Convert to fraction form
    198,368/302,196 = 302,196/x
  3. Step 3: Cross multiply
    198,368x = 302,196 × 302,196
  4. Step 4: Simplify right side
    198,368x = 91,322,422,416
  5. Step 5: Solve for x
    x = 91,322,422,416/198,368
  6. Step 6: Final answer
    x = 460,368.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.