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Finding the Third Proportional to 77,391 and 169,364

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Solution

The third proportional to 77,391 and 169,364 is: 370,639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,391 : 169,364 = 169,364 : x
  2. Step 2: Convert to fraction form
    77,391/169,364 = 169,364/x
  3. Step 3: Cross multiply
    77,391x = 169,364 × 169,364
  4. Step 4: Simplify right side
    77,391x = 28,684,164,496
  5. Step 5: Solve for x
    x = 28,684,164,496/77,391
  6. Step 6: Final answer
    x = 370,639.54

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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.