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Finding the Third Proportional to 160,712 and 306,838

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Solution

The third proportional to 160,712 and 306,838 is: 585,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,712 : 306,838 = 306,838 : x
  2. Step 2: Convert to fraction form
    160,712/306,838 = 306,838/x
  3. Step 3: Cross multiply
    160,712x = 306,838 × 306,838
  4. Step 4: Simplify right side
    160,712x = 94,149,558,244
  5. Step 5: Solve for x
    x = 94,149,558,244/160,712
  6. Step 6: Final answer
    x = 585,827.81

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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.