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Finding the Third Proportional to 143,973 and 314,154

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Solution

The third proportional to 143,973 and 314,154 is: 685,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,973 : 314,154 = 314,154 : x
  2. Step 2: Convert to fraction form
    143,973/314,154 = 314,154/x
  3. Step 3: Cross multiply
    143,973x = 314,154 × 314,154
  4. Step 4: Simplify right side
    143,973x = 98,692,735,716
  5. Step 5: Solve for x
    x = 98,692,735,716/143,973
  6. Step 6: Final answer
    x = 685,494.75

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Why These Related Problems?

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