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Finding the Third Proportional to 130,666 and 286,228

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Solution

The third proportional to 130,666 and 286,228 is: 626,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,666 : 286,228 = 286,228 : x
  2. Step 2: Convert to fraction form
    130,666/286,228 = 286,228/x
  3. Step 3: Cross multiply
    130,666x = 286,228 × 286,228
  4. Step 4: Simplify right side
    130,666x = 81,926,467,984
  5. Step 5: Solve for x
    x = 81,926,467,984/130,666
  6. Step 6: Final answer
    x = 626,991.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.