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Finding the Third Proportional to 151,364 and 227,046

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Solution

The third proportional to 151,364 and 227,046 is: 340,569

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,364 : 227,046 = 227,046 : x
  2. Step 2: Convert to fraction form
    151,364/227,046 = 227,046/x
  3. Step 3: Cross multiply
    151,364x = 227,046 × 227,046
  4. Step 4: Simplify right side
    151,364x = 51,549,886,116
  5. Step 5: Solve for x
    x = 51,549,886,116/151,364
  6. Step 6: Final answer
    x = 340,569

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.