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Finding the Third Proportional to 103,322 and 226,312

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Solution

The third proportional to 103,322 and 226,312 is: 495,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,322 : 226,312 = 226,312 : x
  2. Step 2: Convert to fraction form
    103,322/226,312 = 226,312/x
  3. Step 3: Cross multiply
    103,322x = 226,312 × 226,312
  4. Step 4: Simplify right side
    103,322x = 51,217,121,344
  5. Step 5: Solve for x
    x = 51,217,121,344/103,322
  6. Step 6: Final answer
    x = 495,703.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.