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Finding the Third Proportional to 162,661 and 250,332

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Solution

The third proportional to 162,661 and 250,332 is: 385,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,661 : 250,332 = 250,332 : x
  2. Step 2: Convert to fraction form
    162,661/250,332 = 250,332/x
  3. Step 3: Cross multiply
    162,661x = 250,332 × 250,332
  4. Step 4: Simplify right side
    162,661x = 62,666,110,224
  5. Step 5: Solve for x
    x = 62,666,110,224/162,661
  6. Step 6: Final answer
    x = 385,255.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.