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Finding the Third Proportional to 158,988 and 341,008

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Solution

The third proportional to 158,988 and 341,008 is: 731,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,988 : 341,008 = 341,008 : x
  2. Step 2: Convert to fraction form
    158,988/341,008 = 341,008/x
  3. Step 3: Cross multiply
    158,988x = 341,008 × 341,008
  4. Step 4: Simplify right side
    158,988x = 116,286,456,064
  5. Step 5: Solve for x
    x = 116,286,456,064/158,988
  6. Step 6: Final answer
    x = 731,416.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.