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Finding the Third Proportional to 158,348 and 332,056

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Solution

The third proportional to 158,348 and 332,056 is: 696,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,348 : 332,056 = 332,056 : x
  2. Step 2: Convert to fraction form
    158,348/332,056 = 332,056/x
  3. Step 3: Cross multiply
    158,348x = 332,056 × 332,056
  4. Step 4: Simplify right side
    158,348x = 110,261,187,136
  5. Step 5: Solve for x
    x = 110,261,187,136/158,348
  6. Step 6: Final answer
    x = 696,321.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.