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Finding the Third Proportional to 77,384 and 167,440

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Solution

The third proportional to 77,384 and 167,440 is: 362,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,384 : 167,440 = 167,440 : x
  2. Step 2: Convert to fraction form
    77,384/167,440 = 167,440/x
  3. Step 3: Cross multiply
    77,384x = 167,440 × 167,440
  4. Step 4: Simplify right side
    77,384x = 28,036,153,600
  5. Step 5: Solve for x
    x = 28,036,153,600/77,384
  6. Step 6: Final answer
    x = 362,299.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.