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Finding the Third Proportional to 154,128 and 230,152.50

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Solution

The third proportional to 154,128 and 230,152.50 is: 343,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,128 : 230,152.50 = 230,152.50 : x
  2. Step 2: Convert to fraction form
    154,128/230,152.50 = 230,152.50/x
  3. Step 3: Cross multiply
    154,128x = 230,152.50 × 230,152.50
  4. Step 4: Simplify right side
    154,128x = 52,970,173,256.25
  5. Step 5: Solve for x
    x = 52,970,173,256.25/154,128
  6. Step 6: Final answer
    x = 343,676.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.