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Finding the Third Proportional to 176,418 and 384,558

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Solution

The third proportional to 176,418 and 384,558 is: 838,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,418 : 384,558 = 384,558 : x
  2. Step 2: Convert to fraction form
    176,418/384,558 = 384,558/x
  3. Step 3: Cross multiply
    176,418x = 384,558 × 384,558
  4. Step 4: Simplify right side
    176,418x = 147,884,855,364
  5. Step 5: Solve for x
    x = 147,884,855,364/176,418
  6. Step 6: Final answer
    x = 838,263.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.