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Finding the Third Proportional to 130,312 and 283,940

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Solution

The third proportional to 130,312 and 283,940 is: 618,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,312 : 283,940 = 283,940 : x
  2. Step 2: Convert to fraction form
    130,312/283,940 = 283,940/x
  3. Step 3: Cross multiply
    130,312x = 283,940 × 283,940
  4. Step 4: Simplify right side
    130,312x = 80,621,923,600
  5. Step 5: Solve for x
    x = 80,621,923,600/130,312
  6. Step 6: Final answer
    x = 618,683.80

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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.