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Finding the Third Proportional to 150,957 and 316,602

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Solution

The third proportional to 150,957 and 316,602 is: 664,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,957 : 316,602 = 316,602 : x
  2. Step 2: Convert to fraction form
    150,957/316,602 = 316,602/x
  3. Step 3: Cross multiply
    150,957x = 316,602 × 316,602
  4. Step 4: Simplify right side
    150,957x = 100,236,826,404
  5. Step 5: Solve for x
    x = 100,236,826,404/150,957
  6. Step 6: Final answer
    x = 664,009.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.