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Finding the Third Proportional to 228,521.25 and 495,176.63

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Solution

The third proportional to 228,521.25 and 495,176.63 is: 1,072,985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,521.25 : 495,176.63 = 495,176.63 : x
  2. Step 2: Convert to fraction form
    228,521.25/495,176.63 = 495,176.63/x
  3. Step 3: Cross multiply
    228,521.25x = 495,176.63 × 495,176.63
  4. Step 4: Simplify right side
    228,521.25x = 245,199,889,946.39
  5. Step 5: Solve for x
    x = 245,199,889,946.39/228,521.25
  6. Step 6: Final answer
    x = 1,072,985.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.