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Finding the Third Proportional to 146,160 and 198,056

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Solution

The third proportional to 146,160 and 198,056 is: 268,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,160 : 198,056 = 198,056 : x
  2. Step 2: Convert to fraction form
    146,160/198,056 = 198,056/x
  3. Step 3: Cross multiply
    146,160x = 198,056 × 198,056
  4. Step 4: Simplify right side
    146,160x = 39,226,179,136
  5. Step 5: Solve for x
    x = 39,226,179,136/146,160
  6. Step 6: Final answer
    x = 268,378.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.