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Finding the Third Proportional to 155,564 and 336,035

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Solution

The third proportional to 155,564 and 336,035 is: 725,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,564 : 336,035 = 336,035 : x
  2. Step 2: Convert to fraction form
    155,564/336,035 = 336,035/x
  3. Step 3: Cross multiply
    155,564x = 336,035 × 336,035
  4. Step 4: Simplify right side
    155,564x = 112,919,521,225
  5. Step 5: Solve for x
    x = 112,919,521,225/155,564
  6. Step 6: Final answer
    x = 725,871.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.