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Finding the Third Proportional to 150,506 and 326,232

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Solution

The third proportional to 150,506 and 326,232 is: 707,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,506 : 326,232 = 326,232 : x
  2. Step 2: Convert to fraction form
    150,506/326,232 = 326,232/x
  3. Step 3: Cross multiply
    150,506x = 326,232 × 326,232
  4. Step 4: Simplify right side
    150,506x = 106,427,317,824
  5. Step 5: Solve for x
    x = 106,427,317,824/150,506
  6. Step 6: Final answer
    x = 707,130.07

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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.