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Finding the Third Proportional to 176,588 and 383,276

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Solution

The third proportional to 176,588 and 383,276 is: 831,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,588 : 383,276 = 383,276 : x
  2. Step 2: Convert to fraction form
    176,588/383,276 = 383,276/x
  3. Step 3: Cross multiply
    176,588x = 383,276 × 383,276
  4. Step 4: Simplify right side
    176,588x = 146,900,492,176
  5. Step 5: Solve for x
    x = 146,900,492,176/176,588
  6. Step 6: Final answer
    x = 831,882.64

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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.