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Finding the Third Proportional to 159,710.75 and 349,229.50

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Solution

The third proportional to 159,710.75 and 349,229.50 is: 763,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,710.75 : 349,229.50 = 349,229.50 : x
  2. Step 2: Convert to fraction form
    159,710.75/349,229.50 = 349,229.50/x
  3. Step 3: Cross multiply
    159,710.75x = 349,229.50 × 349,229.50
  4. Step 4: Simplify right side
    159,710.75x = 121,961,243,670.25
  5. Step 5: Solve for x
    x = 121,961,243,670.25/159,710.75
  6. Step 6: Final answer
    x = 763,638.29

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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.