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Finding the Third Proportional to 143,526 and 310,016

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Solution

The third proportional to 143,526 and 310,016 is: 669,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,526 : 310,016 = 310,016 : x
  2. Step 2: Convert to fraction form
    143,526/310,016 = 310,016/x
  3. Step 3: Cross multiply
    143,526x = 310,016 × 310,016
  4. Step 4: Simplify right side
    143,526x = 96,109,920,256
  5. Step 5: Solve for x
    x = 96,109,920,256/143,526
  6. Step 6: Final answer
    x = 669,634.21

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Why These Related Problems?

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