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Finding the Third Proportional to 200,048.63 and 306,754.88

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Solution

The third proportional to 200,048.63 and 306,754.88 is: 470,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,048.63 : 306,754.88 = 306,754.88 : x
  2. Step 2: Convert to fraction form
    200,048.63/306,754.88 = 306,754.88/x
  3. Step 3: Cross multiply
    200,048.63x = 306,754.88 × 306,754.88
  4. Step 4: Simplify right side
    200,048.63x = 94,098,553,336.27
  5. Step 5: Solve for x
    x = 94,098,553,336.27/200,048.63
  6. Step 6: Final answer
    x = 470,378.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.