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Finding the Third Proportional to 147,625.88 and 309,285

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Solution

The third proportional to 147,625.88 and 309,285 is: 647,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,625.88 : 309,285 = 309,285 : x
  2. Step 2: Convert to fraction form
    147,625.88/309,285 = 309,285/x
  3. Step 3: Cross multiply
    147,625.88x = 309,285 × 309,285
  4. Step 4: Simplify right side
    147,625.88x = 95,657,211,225
  5. Step 5: Solve for x
    x = 95,657,211,225/147,625.88
  6. Step 6: Final answer
    x = 647,970.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.