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Finding the Third Proportional to 129,270 and 279,295.50

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Solution

The third proportional to 129,270 and 279,295.50 is: 603,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,270 : 279,295.50 = 279,295.50 : x
  2. Step 2: Convert to fraction form
    129,270/279,295.50 = 279,295.50/x
  3. Step 3: Cross multiply
    129,270x = 279,295.50 × 279,295.50
  4. Step 4: Simplify right side
    129,270x = 78,005,976,320.25
  5. Step 5: Solve for x
    x = 78,005,976,320.25/129,270
  6. Step 6: Final answer
    x = 603,434.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.