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Finding the Third Proportional to 158,288 and 341,152

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Solution

The third proportional to 158,288 and 341,152 is: 735,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,288 : 341,152 = 341,152 : x
  2. Step 2: Convert to fraction form
    158,288/341,152 = 341,152/x
  3. Step 3: Cross multiply
    158,288x = 341,152 × 341,152
  4. Step 4: Simplify right side
    158,288x = 116,384,687,104
  5. Step 5: Solve for x
    x = 116,384,687,104/158,288
  6. Step 6: Final answer
    x = 735,271.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.