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Finding the Third Proportional to 115,294 and 174,476

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Solution

The third proportional to 115,294 and 174,476 is: 264,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,294 : 174,476 = 174,476 : x
  2. Step 2: Convert to fraction form
    115,294/174,476 = 174,476/x
  3. Step 3: Cross multiply
    115,294x = 174,476 × 174,476
  4. Step 4: Simplify right side
    115,294x = 30,441,874,576
  5. Step 5: Solve for x
    x = 30,441,874,576/115,294
  6. Step 6: Final answer
    x = 264,036.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.