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Finding the Third Proportional to 142,389 and 313,200

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Solution

The third proportional to 142,389 and 313,200 is: 688,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,389 : 313,200 = 313,200 : x
  2. Step 2: Convert to fraction form
    142,389/313,200 = 313,200/x
  3. Step 3: Cross multiply
    142,389x = 313,200 × 313,200
  4. Step 4: Simplify right side
    142,389x = 98,094,240,000
  5. Step 5: Solve for x
    x = 98,094,240,000/142,389
  6. Step 6: Final answer
    x = 688,917.26

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Why These Related Problems?

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