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Finding the Third Proportional to 155,521 and 333,154

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Solution

The third proportional to 155,521 and 333,154 is: 713,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,521 : 333,154 = 333,154 : x
  2. Step 2: Convert to fraction form
    155,521/333,154 = 333,154/x
  3. Step 3: Cross multiply
    155,521x = 333,154 × 333,154
  4. Step 4: Simplify right side
    155,521x = 110,991,587,716
  5. Step 5: Solve for x
    x = 110,991,587,716/155,521
  6. Step 6: Final answer
    x = 713,675.89

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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.