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Finding the Third Proportional to 77,789 and 170,482

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Solution

The third proportional to 77,789 and 170,482 is: 373,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,789 : 170,482 = 170,482 : x
  2. Step 2: Convert to fraction form
    77,789/170,482 = 170,482/x
  3. Step 3: Cross multiply
    77,789x = 170,482 × 170,482
  4. Step 4: Simplify right side
    77,789x = 29,064,112,324
  5. Step 5: Solve for x
    x = 29,064,112,324/77,789
  6. Step 6: Final answer
    x = 373,627.54

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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.