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Finding the Third Proportional to 152,823 and 236,159

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Solution

The third proportional to 152,823 and 236,159 is: 364,939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,823 : 236,159 = 236,159 : x
  2. Step 2: Convert to fraction form
    152,823/236,159 = 236,159/x
  3. Step 3: Cross multiply
    152,823x = 236,159 × 236,159
  4. Step 4: Simplify right side
    152,823x = 55,771,073,281
  5. Step 5: Solve for x
    x = 55,771,073,281/152,823
  6. Step 6: Final answer
    x = 364,939.00

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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.