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Finding the Third Proportional to 176,294 and 261,036

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Solution

The third proportional to 176,294 and 261,036 is: 386,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,294 : 261,036 = 261,036 : x
  2. Step 2: Convert to fraction form
    176,294/261,036 = 261,036/x
  3. Step 3: Cross multiply
    176,294x = 261,036 × 261,036
  4. Step 4: Simplify right side
    176,294x = 68,139,793,296
  5. Step 5: Solve for x
    x = 68,139,793,296/176,294
  6. Step 6: Final answer
    x = 386,512.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.