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Finding the Third Proportional to 212,841.50 and 317,416.50

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Solution

The third proportional to 212,841.50 and 317,416.50 is: 473,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,841.50 : 317,416.50 = 317,416.50 : x
  2. Step 2: Convert to fraction form
    212,841.50/317,416.50 = 317,416.50/x
  3. Step 3: Cross multiply
    212,841.50x = 317,416.50 × 317,416.50
  4. Step 4: Simplify right side
    212,841.50x = 100,753,234,472.25
  5. Step 5: Solve for x
    x = 100,753,234,472.25/212,841.50
  6. Step 6: Final answer
    x = 473,372.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.