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Finding the Third Proportional to 155,481 and 322,032

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Solution

The third proportional to 155,481 and 322,032 is: 666,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,481 : 322,032 = 322,032 : x
  2. Step 2: Convert to fraction form
    155,481/322,032 = 322,032/x
  3. Step 3: Cross multiply
    155,481x = 322,032 × 322,032
  4. Step 4: Simplify right side
    155,481x = 103,704,609,024
  5. Step 5: Solve for x
    x = 103,704,609,024/155,481
  6. Step 6: Final answer
    x = 666,992.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.