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Finding the Third Proportional to 150,153 and 326,511

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Solution

The third proportional to 150,153 and 326,511 is: 710,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,153 : 326,511 = 326,511 : x
  2. Step 2: Convert to fraction form
    150,153/326,511 = 326,511/x
  3. Step 3: Cross multiply
    150,153x = 326,511 × 326,511
  4. Step 4: Simplify right side
    150,153x = 106,609,433,121
  5. Step 5: Solve for x
    x = 106,609,433,121/150,153
  6. Step 6: Final answer
    x = 710,005.35

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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.