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Finding the Third Proportional to 158,046 and 344,496

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Solution

The third proportional to 158,046 and 344,496 is: 750,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,046 : 344,496 = 344,496 : x
  2. Step 2: Convert to fraction form
    158,046/344,496 = 344,496/x
  3. Step 3: Cross multiply
    158,046x = 344,496 × 344,496
  4. Step 4: Simplify right side
    158,046x = 118,677,494,016
  5. Step 5: Solve for x
    x = 118,677,494,016/158,046
  6. Step 6: Final answer
    x = 750,904.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.