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Finding the Third Proportional to 172,005.75 and 388,603.88

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Solution

The third proportional to 172,005.75 and 388,603.88 is: 877,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,005.75 : 388,603.88 = 388,603.88 : x
  2. Step 2: Convert to fraction form
    172,005.75/388,603.88 = 388,603.88/x
  3. Step 3: Cross multiply
    172,005.75x = 388,603.88 × 388,603.88
  4. Step 4: Simplify right side
    172,005.75x = 151,012,971,665.02
  5. Step 5: Solve for x
    x = 151,012,971,665.02/172,005.75
  6. Step 6: Final answer
    x = 877,953.04

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.