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Finding the Third Proportional to 155,566 and 333,236

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Solution

The third proportional to 155,566 and 333,236 is: 713,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,566 : 333,236 = 333,236 : x
  2. Step 2: Convert to fraction form
    155,566/333,236 = 333,236/x
  3. Step 3: Cross multiply
    155,566x = 333,236 × 333,236
  4. Step 4: Simplify right side
    155,566x = 111,046,231,696
  5. Step 5: Solve for x
    x = 111,046,231,696/155,566
  6. Step 6: Final answer
    x = 713,820.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.