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Finding the Third Proportional to 151,715 and 229,661

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Solution

The third proportional to 151,715 and 229,661 is: 347,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,715 : 229,661 = 229,661 : x
  2. Step 2: Convert to fraction form
    151,715/229,661 = 229,661/x
  3. Step 3: Cross multiply
    151,715x = 229,661 × 229,661
  4. Step 4: Simplify right side
    151,715x = 52,744,174,921
  5. Step 5: Solve for x
    x = 52,744,174,921/151,715
  6. Step 6: Final answer
    x = 347,653.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.