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Finding the Third Proportional to 76,440 and 158,688

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Solution

The third proportional to 76,440 and 158,688 is: 329,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,440 : 158,688 = 158,688 : x
  2. Step 2: Convert to fraction form
    76,440/158,688 = 158,688/x
  3. Step 3: Cross multiply
    76,440x = 158,688 × 158,688
  4. Step 4: Simplify right side
    76,440x = 25,181,881,344
  5. Step 5: Solve for x
    x = 25,181,881,344/76,440
  6. Step 6: Final answer
    x = 329,433.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.