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Finding the Third Proportional to 77,364 and 167,355

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Solution

The third proportional to 77,364 and 167,355 is: 362,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,364 : 167,355 = 167,355 : x
  2. Step 2: Convert to fraction form
    77,364/167,355 = 167,355/x
  3. Step 3: Cross multiply
    77,364x = 167,355 × 167,355
  4. Step 4: Simplify right side
    77,364x = 28,007,696,025
  5. Step 5: Solve for x
    x = 28,007,696,025/77,364
  6. Step 6: Final answer
    x = 362,024.92

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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.