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Finding the Third Proportional to 130,046 and 283,906

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Solution

The third proportional to 130,046 and 283,906 is: 619,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,046 : 283,906 = 283,906 : x
  2. Step 2: Convert to fraction form
    130,046/283,906 = 283,906/x
  3. Step 3: Cross multiply
    130,046x = 283,906 × 283,906
  4. Step 4: Simplify right side
    130,046x = 80,602,616,836
  5. Step 5: Solve for x
    x = 80,602,616,836/130,046
  6. Step 6: Final answer
    x = 619,800.82

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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.