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Finding the Third Proportional to 136,539 and 290,300.63

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Solution

The third proportional to 136,539 and 290,300.63 is: 617,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,539 : 290,300.63 = 290,300.63 : x
  2. Step 2: Convert to fraction form
    136,539/290,300.63 = 290,300.63/x
  3. Step 3: Cross multiply
    136,539x = 290,300.63 × 290,300.63
  4. Step 4: Simplify right side
    136,539x = 84,274,452,875.39
  5. Step 5: Solve for x
    x = 84,274,452,875.39/136,539
  6. Step 6: Final answer
    x = 617,218.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.