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Finding the Third Proportional to 137,993.63 and 295,655.06

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Solution

The third proportional to 137,993.63 and 295,655.06 is: 633,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,993.63 : 295,655.06 = 295,655.06 : x
  2. Step 2: Convert to fraction form
    137,993.63/295,655.06 = 295,655.06/x
  3. Step 3: Cross multiply
    137,993.63x = 295,655.06 × 295,655.06
  4. Step 4: Simplify right side
    137,993.63x = 87,411,915,981.88
  5. Step 5: Solve for x
    x = 87,411,915,981.88/137,993.63
  6. Step 6: Final answer
    x = 633,448.94

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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.