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Finding the Third Proportional to 137,788.88 and 295,259.63

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Solution

The third proportional to 137,788.88 and 295,259.63 is: 632,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,788.88 : 295,259.63 = 295,259.63 : x
  2. Step 2: Convert to fraction form
    137,788.88/295,259.63 = 295,259.63/x
  3. Step 3: Cross multiply
    137,788.88x = 295,259.63 × 295,259.63
  4. Step 4: Simplify right side
    137,788.88x = 87,178,246,155.14
  5. Step 5: Solve for x
    x = 87,178,246,155.14/137,788.88
  6. Step 6: Final answer
    x = 632,694.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.