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Finding the Third Proportional to 212,830.50 and 317,398.50

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Solution

The third proportional to 212,830.50 and 317,398.50 is: 473,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,830.50 : 317,398.50 = 317,398.50 : x
  2. Step 2: Convert to fraction form
    212,830.50/317,398.50 = 317,398.50/x
  3. Step 3: Cross multiply
    212,830.50x = 317,398.50 × 317,398.50
  4. Step 4: Simplify right side
    212,830.50x = 100,741,807,802.25
  5. Step 5: Solve for x
    x = 100,741,807,802.25/212,830.50
  6. Step 6: Final answer
    x = 473,342.91

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