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Finding the Third Proportional to 173,069 and 375,664

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Solution

The third proportional to 173,069 and 375,664 is: 815,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,069 : 375,664 = 375,664 : x
  2. Step 2: Convert to fraction form
    173,069/375,664 = 375,664/x
  3. Step 3: Cross multiply
    173,069x = 375,664 × 375,664
  4. Step 4: Simplify right side
    173,069x = 141,123,440,896
  5. Step 5: Solve for x
    x = 141,123,440,896/173,069
  6. Step 6: Final answer
    x = 815,417.21

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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.