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Finding the Third Proportional to 143,320 and 312,128

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Solution

The third proportional to 143,320 and 312,128 is: 679,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,320 : 312,128 = 312,128 : x
  2. Step 2: Convert to fraction form
    143,320/312,128 = 312,128/x
  3. Step 3: Cross multiply
    143,320x = 312,128 × 312,128
  4. Step 4: Simplify right side
    143,320x = 97,423,888,384
  5. Step 5: Solve for x
    x = 97,423,888,384/143,320
  6. Step 6: Final answer
    x = 679,764.78

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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.