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Finding the Third Proportional to 176,988 and 382,128

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Solution

The third proportional to 176,988 and 382,128 is: 825,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,988 : 382,128 = 382,128 : x
  2. Step 2: Convert to fraction form
    176,988/382,128 = 382,128/x
  3. Step 3: Cross multiply
    176,988x = 382,128 × 382,128
  4. Step 4: Simplify right side
    176,988x = 146,021,808,384
  5. Step 5: Solve for x
    x = 146,021,808,384/176,988
  6. Step 6: Final answer
    x = 825,037.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.