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Finding the Third Proportional to 235,394 and 302,239

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Solution

The third proportional to 235,394 and 302,239 is: 388,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,394 : 302,239 = 302,239 : x
  2. Step 2: Convert to fraction form
    235,394/302,239 = 302,239/x
  3. Step 3: Cross multiply
    235,394x = 302,239 × 302,239
  4. Step 4: Simplify right side
    235,394x = 91,348,413,121
  5. Step 5: Solve for x
    x = 91,348,413,121/235,394
  6. Step 6: Final answer
    x = 388,066.02

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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.