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Finding the Third Proportional to 235,392 and 302,237

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Solution

The third proportional to 235,392 and 302,237 is: 388,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,392 : 302,237 = 302,237 : x
  2. Step 2: Convert to fraction form
    235,392/302,237 = 302,237/x
  3. Step 3: Cross multiply
    235,392x = 302,237 × 302,237
  4. Step 4: Simplify right side
    235,392x = 91,347,204,169
  5. Step 5: Solve for x
    x = 91,347,204,169/235,392
  6. Step 6: Final answer
    x = 388,064.18

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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.