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Finding the Third Proportional to 141,382 and 307,640.75

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Solution

The third proportional to 141,382 and 307,640.75 is: 669,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,382 : 307,640.75 = 307,640.75 : x
  2. Step 2: Convert to fraction form
    141,382/307,640.75 = 307,640.75/x
  3. Step 3: Cross multiply
    141,382x = 307,640.75 × 307,640.75
  4. Step 4: Simplify right side
    141,382x = 94,642,831,060.56
  5. Step 5: Solve for x
    x = 94,642,831,060.56/141,382
  6. Step 6: Final answer
    x = 669,412.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.