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Finding the Third Proportional to 73,216 and 160,688

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Solution

The third proportional to 73,216 and 160,688 is: 352,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,216 : 160,688 = 160,688 : x
  2. Step 2: Convert to fraction form
    73,216/160,688 = 160,688/x
  3. Step 3: Cross multiply
    73,216x = 160,688 × 160,688
  4. Step 4: Simplify right side
    73,216x = 25,820,633,344
  5. Step 5: Solve for x
    x = 25,820,633,344/73,216
  6. Step 6: Final answer
    x = 352,663.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.