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Finding the Third Proportional to 176,644 and 264,294

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Solution

The third proportional to 176,644 and 264,294 is: 395,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,644 : 264,294 = 264,294 : x
  2. Step 2: Convert to fraction form
    176,644/264,294 = 264,294/x
  3. Step 3: Cross multiply
    176,644x = 264,294 × 264,294
  4. Step 4: Simplify right side
    176,644x = 69,851,318,436
  5. Step 5: Solve for x
    x = 69,851,318,436/176,644
  6. Step 6: Final answer
    x = 395,435.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.