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Finding the Third Proportional to 163,435.50 and 254,115

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Solution

The third proportional to 163,435.50 and 254,115 is: 395,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,435.50 : 254,115 = 254,115 : x
  2. Step 2: Convert to fraction form
    163,435.50/254,115 = 254,115/x
  3. Step 3: Cross multiply
    163,435.50x = 254,115 × 254,115
  4. Step 4: Simplify right side
    163,435.50x = 64,574,433,225
  5. Step 5: Solve for x
    x = 64,574,433,225/163,435.50
  6. Step 6: Final answer
    x = 395,106.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.