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Finding the Third Proportional to 212,836.50 and 317,409.75

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Solution

The third proportional to 212,836.50 and 317,409.75 is: 473,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,836.50 : 317,409.75 = 317,409.75 : x
  2. Step 2: Convert to fraction form
    212,836.50/317,409.75 = 317,409.75/x
  3. Step 3: Cross multiply
    212,836.50x = 317,409.75 × 317,409.75
  4. Step 4: Simplify right side
    212,836.50x = 100,748,949,395.06
  5. Step 5: Solve for x
    x = 100,748,949,395.06/212,836.50
  6. Step 6: Final answer
    x = 473,363.12

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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.