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Finding the Third Proportional to 160,705 and 306,827

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Solution

The third proportional to 160,705 and 306,827 is: 585,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,705 : 306,827 = 306,827 : x
  2. Step 2: Convert to fraction form
    160,705/306,827 = 306,827/x
  3. Step 3: Cross multiply
    160,705x = 306,827 × 306,827
  4. Step 4: Simplify right side
    160,705x = 94,142,807,929
  5. Step 5: Solve for x
    x = 94,142,807,929/160,705
  6. Step 6: Final answer
    x = 585,811.32

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.