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Finding the Third Proportional to 198,880.31 and 314,928

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Solution

The third proportional to 198,880.31 and 314,928 is: 498,690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,880.31 : 314,928 = 314,928 : x
  2. Step 2: Convert to fraction form
    198,880.31/314,928 = 314,928/x
  3. Step 3: Cross multiply
    198,880.31x = 314,928 × 314,928
  4. Step 4: Simplify right side
    198,880.31x = 99,179,645,184
  5. Step 5: Solve for x
    x = 99,179,645,184/198,880.31
  6. Step 6: Final answer
    x = 498,690.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.