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Finding the Third Proportional to 143,160 and 314,640

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Solution

The third proportional to 143,160 and 314,640 is: 691,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,160 : 314,640 = 314,640 : x
  2. Step 2: Convert to fraction form
    143,160/314,640 = 314,640/x
  3. Step 3: Cross multiply
    143,160x = 314,640 × 314,640
  4. Step 4: Simplify right side
    143,160x = 98,998,329,600
  5. Step 5: Solve for x
    x = 98,998,329,600/143,160
  6. Step 6: Final answer
    x = 691,522.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.