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Finding the Third Proportional to 133,990.88 and 287,415

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Solution

The third proportional to 133,990.88 and 287,415 is: 616,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,990.88 : 287,415 = 287,415 : x
  2. Step 2: Convert to fraction form
    133,990.88/287,415 = 287,415/x
  3. Step 3: Cross multiply
    133,990.88x = 287,415 × 287,415
  4. Step 4: Simplify right side
    133,990.88x = 82,607,382,225
  5. Step 5: Solve for x
    x = 82,607,382,225/133,990.88
  6. Step 6: Final answer
    x = 616,514.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.