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Finding the Third Proportional to 130,418 and 285,838

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Solution

The third proportional to 130,418 and 285,838 is: 626,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,418 : 285,838 = 285,838 : x
  2. Step 2: Convert to fraction form
    130,418/285,838 = 285,838/x
  3. Step 3: Cross multiply
    130,418x = 285,838 × 285,838
  4. Step 4: Simplify right side
    130,418x = 81,703,362,244
  5. Step 5: Solve for x
    x = 81,703,362,244/130,418
  6. Step 6: Final answer
    x = 626,473.05

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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.