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Finding the Third Proportional to 176,584 and 383,270

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Solution

The third proportional to 176,584 and 383,270 is: 831,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,584 : 383,270 = 383,270 : x
  2. Step 2: Convert to fraction form
    176,584/383,270 = 383,270/x
  3. Step 3: Cross multiply
    176,584x = 383,270 × 383,270
  4. Step 4: Simplify right side
    176,584x = 146,895,892,900
  5. Step 5: Solve for x
    x = 146,895,892,900/176,584
  6. Step 6: Final answer
    x = 831,875.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.