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Finding the Third Proportional to 176,412 and 384,546

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Solution

The third proportional to 176,412 and 384,546 is: 838,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,412 : 384,546 = 384,546 : x
  2. Step 2: Convert to fraction form
    176,412/384,546 = 384,546/x
  3. Step 3: Cross multiply
    176,412x = 384,546 × 384,546
  4. Step 4: Simplify right side
    176,412x = 147,875,626,116
  5. Step 5: Solve for x
    x = 147,875,626,116/176,412
  6. Step 6: Final answer
    x = 838,240.18

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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.