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Finding the Third Proportional to 172,277.51 and 273,409.17

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Solution

The third proportional to 172,277.51 and 273,409.17 is: 433,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,277.51 : 273,409.17 = 273,409.17 : x
  2. Step 2: Convert to fraction form
    172,277.51/273,409.17 = 273,409.17/x
  3. Step 3: Cross multiply
    172,277.51x = 273,409.17 × 273,409.17
  4. Step 4: Simplify right side
    172,277.51x = 74,752,575,265.37
  5. Step 5: Solve for x
    x = 74,752,575,265.37/172,277.51
  6. Step 6: Final answer
    x = 433,907.92

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.