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Finding the Third Proportional to 176,513 and 269,388

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Solution

The third proportional to 176,513 and 269,388 is: 411,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,513 : 269,388 = 269,388 : x
  2. Step 2: Convert to fraction form
    176,513/269,388 = 269,388/x
  3. Step 3: Cross multiply
    176,513x = 269,388 × 269,388
  4. Step 4: Simplify right side
    176,513x = 72,569,894,544
  5. Step 5: Solve for x
    x = 72,569,894,544/176,513
  6. Step 6: Final answer
    x = 411,130.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.