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Finding the Third Proportional to 156,985 and 333,572

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Solution

The third proportional to 156,985 and 333,572 is: 708,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,985 : 333,572 = 333,572 : x
  2. Step 2: Convert to fraction form
    156,985/333,572 = 333,572/x
  3. Step 3: Cross multiply
    156,985x = 333,572 × 333,572
  4. Step 4: Simplify right side
    156,985x = 111,270,279,184
  5. Step 5: Solve for x
    x = 111,270,279,184/156,985
  6. Step 6: Final answer
    x = 708,795.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.