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Finding the Third Proportional to 155,524 and 333,703

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Solution

The third proportional to 155,524 and 333,703 is: 716,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,524 : 333,703 = 333,703 : x
  2. Step 2: Convert to fraction form
    155,524/333,703 = 333,703/x
  3. Step 3: Cross multiply
    155,524x = 333,703 × 333,703
  4. Step 4: Simplify right side
    155,524x = 111,357,692,209
  5. Step 5: Solve for x
    x = 111,357,692,209/155,524
  6. Step 6: Final answer
    x = 716,016.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.