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Finding the Third Proportional to 198,724 and 307,014

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Solution

The third proportional to 198,724 and 307,014 is: 474,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,724 : 307,014 = 307,014 : x
  2. Step 2: Convert to fraction form
    198,724/307,014 = 307,014/x
  3. Step 3: Cross multiply
    198,724x = 307,014 × 307,014
  4. Step 4: Simplify right side
    198,724x = 94,257,596,196
  5. Step 5: Solve for x
    x = 94,257,596,196/198,724
  6. Step 6: Final answer
    x = 474,314.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.