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Finding the Third Proportional to 155,512.50 and 335,835

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Solution

The third proportional to 155,512.50 and 335,835 is: 725,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,512.50 : 335,835 = 335,835 : x
  2. Step 2: Convert to fraction form
    155,512.50/335,835 = 335,835/x
  3. Step 3: Cross multiply
    155,512.50x = 335,835 × 335,835
  4. Step 4: Simplify right side
    155,512.50x = 112,785,147,225
  5. Step 5: Solve for x
    x = 112,785,147,225/155,512.50
  6. Step 6: Final answer
    x = 725,248.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.