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Finding the Third Proportional to 173,004 and 375,546

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Solution

The third proportional to 173,004 and 375,546 is: 815,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,004 : 375,546 = 375,546 : x
  2. Step 2: Convert to fraction form
    173,004/375,546 = 375,546/x
  3. Step 3: Cross multiply
    173,004x = 375,546 × 375,546
  4. Step 4: Simplify right side
    173,004x = 141,034,798,116
  5. Step 5: Solve for x
    x = 141,034,798,116/173,004
  6. Step 6: Final answer
    x = 815,211.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.