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Finding the Third Proportional to 194,036.45 and 302,856.79

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Solution

The third proportional to 194,036.45 and 302,856.79 is: 472,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,036.45 : 302,856.79 = 302,856.79 : x
  2. Step 2: Convert to fraction form
    194,036.45/302,856.79 = 302,856.79/x
  3. Step 3: Cross multiply
    194,036.45x = 302,856.79 × 302,856.79
  4. Step 4: Simplify right side
    194,036.45x = 91,722,232,315.18
  5. Step 5: Solve for x
    x = 91,722,232,315.18/194,036.45
  6. Step 6: Final answer
    x = 472,706.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.