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Finding the Third Proportional to 235,429 and 302,284

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Solution

The third proportional to 235,429 and 302,284 is: 388,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,429 : 302,284 = 302,284 : x
  2. Step 2: Convert to fraction form
    235,429/302,284 = 302,284/x
  3. Step 3: Cross multiply
    235,429x = 302,284 × 302,284
  4. Step 4: Simplify right side
    235,429x = 91,375,616,656
  5. Step 5: Solve for x
    x = 91,375,616,656/235,429
  6. Step 6: Final answer
    x = 388,123.88

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.