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Finding the Third Proportional to 150,188 and 326,332

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Solution

The third proportional to 150,188 and 326,332 is: 709,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,188 : 326,332 = 326,332 : x
  2. Step 2: Convert to fraction form
    150,188/326,332 = 326,332/x
  3. Step 3: Cross multiply
    150,188x = 326,332 × 326,332
  4. Step 4: Simplify right side
    150,188x = 106,492,574,224
  5. Step 5: Solve for x
    x = 106,492,574,224/150,188
  6. Step 6: Final answer
    x = 709,061.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.