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Finding the Third Proportional to 141,912 and 309,946.50

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Solution

The third proportional to 141,912 and 309,946.50 is: 676,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,912 : 309,946.50 = 309,946.50 : x
  2. Step 2: Convert to fraction form
    141,912/309,946.50 = 309,946.50/x
  3. Step 3: Cross multiply
    141,912x = 309,946.50 × 309,946.50
  4. Step 4: Simplify right side
    141,912x = 96,066,832,862.25
  5. Step 5: Solve for x
    x = 96,066,832,862.25/141,912
  6. Step 6: Final answer
    x = 676,946.51

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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.