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Finding the Third Proportional to 175,513 and 414,174

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Solution

The third proportional to 175,513 and 414,174 is: 977,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,513 : 414,174 = 414,174 : x
  2. Step 2: Convert to fraction form
    175,513/414,174 = 414,174/x
  3. Step 3: Cross multiply
    175,513x = 414,174 × 414,174
  4. Step 4: Simplify right side
    175,513x = 171,540,102,276
  5. Step 5: Solve for x
    x = 171,540,102,276/175,513
  6. Step 6: Final answer
    x = 977,364.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.