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Finding the Third Proportional to 158,019 and 341,429

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Solution

The third proportional to 158,019 and 341,429 is: 737,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,019 : 341,429 = 341,429 : x
  2. Step 2: Convert to fraction form
    158,019/341,429 = 341,429/x
  3. Step 3: Cross multiply
    158,019x = 341,429 × 341,429
  4. Step 4: Simplify right side
    158,019x = 116,573,762,041
  5. Step 5: Solve for x
    x = 116,573,762,041/158,019
  6. Step 6: Final answer
    x = 737,719.91

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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.