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Finding the Third Proportional to 226,274.63 and 360,172.13

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Solution

The third proportional to 226,274.63 and 360,172.13 is: 573,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,274.63 : 360,172.13 = 360,172.13 : x
  2. Step 2: Convert to fraction form
    226,274.63/360,172.13 = 360,172.13/x
  3. Step 3: Cross multiply
    226,274.63x = 360,172.13 × 360,172.13
  4. Step 4: Simplify right side
    226,274.63x = 129,723,959,627.02
  5. Step 5: Solve for x
    x = 129,723,959,627.02/226,274.63
  6. Step 6: Final answer
    x = 573,303.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.