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Finding the Third Proportional to 176,246 and 283,717

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Solution

The third proportional to 176,246 and 283,717 is: 456,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,246 : 283,717 = 283,717 : x
  2. Step 2: Convert to fraction form
    176,246/283,717 = 283,717/x
  3. Step 3: Cross multiply
    176,246x = 283,717 × 283,717
  4. Step 4: Simplify right side
    176,246x = 80,495,336,089
  5. Step 5: Solve for x
    x = 80,495,336,089/176,246
  6. Step 6: Final answer
    x = 456,721.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.