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Finding the Third Proportional to 151,389 and 224,152.31

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Solution

The third proportional to 151,389 and 224,152.31 is: 331,888.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,389 : 224,152.31 = 224,152.31 : x
  2. Step 2: Convert to fraction form
    151,389/224,152.31 = 224,152.31/x
  3. Step 3: Cross multiply
    151,389x = 224,152.31 × 224,152.31
  4. Step 4: Simplify right side
    151,389x = 50,244,259,199.10
  5. Step 5: Solve for x
    x = 50,244,259,199.10/151,389
  6. Step 6: Final answer
    x = 331,888.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.