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Finding the Third Proportional to 130,064.33 and 283,763.80

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Solution

The third proportional to 130,064.33 and 283,763.80 is: 619,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,064.33 : 283,763.80 = 283,763.80 : x
  2. Step 2: Convert to fraction form
    130,064.33/283,763.80 = 283,763.80/x
  3. Step 3: Cross multiply
    130,064.33x = 283,763.80 × 283,763.80
  4. Step 4: Simplify right side
    130,064.33x = 80,521,896,296.51
  5. Step 5: Solve for x
    x = 80,521,896,296.51/130,064.33
  6. Step 6: Final answer
    x = 619,092.86

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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.