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Finding the Third Proportional to 176,276 and 385,928

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Solution

The third proportional to 176,276 and 385,928 is: 844,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,276 : 385,928 = 385,928 : x
  2. Step 2: Convert to fraction form
    176,276/385,928 = 385,928/x
  3. Step 3: Cross multiply
    176,276x = 385,928 × 385,928
  4. Step 4: Simplify right side
    176,276x = 148,940,421,184
  5. Step 5: Solve for x
    x = 148,940,421,184/176,276
  6. Step 6: Final answer
    x = 844,927.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.