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Finding the Third Proportional to 160,718 and 306,850

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Solution

The third proportional to 160,718 and 306,850 is: 585,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,718 : 306,850 = 306,850 : x
  2. Step 2: Convert to fraction form
    160,718/306,850 = 306,850/x
  3. Step 3: Cross multiply
    160,718x = 306,850 × 306,850
  4. Step 4: Simplify right side
    160,718x = 94,156,922,500
  5. Step 5: Solve for x
    x = 94,156,922,500/160,718
  6. Step 6: Final answer
    x = 585,851.76

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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.