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Finding the Third Proportional to 152,577.75 and 221,941.13

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Solution

The third proportional to 152,577.75 and 221,941.13 is: 322,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,577.75 : 221,941.13 = 221,941.13 : x
  2. Step 2: Convert to fraction form
    152,577.75/221,941.13 = 221,941.13/x
  3. Step 3: Cross multiply
    152,577.75x = 221,941.13 × 221,941.13
  4. Step 4: Simplify right side
    152,577.75x = 49,257,862,966.27
  5. Step 5: Solve for x
    x = 49,257,862,966.27/152,577.75
  6. Step 6: Final answer
    x = 322,837.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.