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Finding the Third Proportional to 77,948 and 170,476

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Solution

The third proportional to 77,948 and 170,476 is: 372,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,948 : 170,476 = 170,476 : x
  2. Step 2: Convert to fraction form
    77,948/170,476 = 170,476/x
  3. Step 3: Cross multiply
    77,948x = 170,476 × 170,476
  4. Step 4: Simplify right side
    77,948x = 29,062,066,576
  5. Step 5: Solve for x
    x = 29,062,066,576/77,948
  6. Step 6: Final answer
    x = 372,839.16

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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.