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Finding the Third Proportional to 156,210 and 333,140

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Solution

The third proportional to 156,210 and 333,140 is: 710,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,210 : 333,140 = 333,140 : x
  2. Step 2: Convert to fraction form
    156,210/333,140 = 333,140/x
  3. Step 3: Cross multiply
    156,210x = 333,140 × 333,140
  4. Step 4: Simplify right side
    156,210x = 110,982,259,600
  5. Step 5: Solve for x
    x = 110,982,259,600/156,210
  6. Step 6: Final answer
    x = 710,468.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.