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Finding the Third Proportional to 155,564 and 333,232

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Solution

The third proportional to 155,564 and 333,232 is: 713,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,564 : 333,232 = 333,232 : x
  2. Step 2: Convert to fraction form
    155,564/333,232 = 333,232/x
  3. Step 3: Cross multiply
    155,564x = 333,232 × 333,232
  4. Step 4: Simplify right side
    155,564x = 111,043,565,824
  5. Step 5: Solve for x
    x = 111,043,565,824/155,564
  6. Step 6: Final answer
    x = 713,812.74

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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.