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Finding the Third Proportional to 159,802.50 and 349,671.75

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Solution

The third proportional to 159,802.50 and 349,671.75 is: 765,134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,802.50 : 349,671.75 = 349,671.75 : x
  2. Step 2: Convert to fraction form
    159,802.50/349,671.75 = 349,671.75/x
  3. Step 3: Cross multiply
    159,802.50x = 349,671.75 × 349,671.75
  4. Step 4: Simplify right side
    159,802.50x = 122,270,332,748.06
  5. Step 5: Solve for x
    x = 122,270,332,748.06/159,802.50
  6. Step 6: Final answer
    x = 765,134.04

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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.