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Finding the Third Proportional to 264,835.13 and 340,039.13

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Solution

The third proportional to 264,835.13 and 340,039.13 is: 436,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,835.13 : 340,039.13 = 340,039.13 : x
  2. Step 2: Convert to fraction form
    264,835.13/340,039.13 = 340,039.13/x
  3. Step 3: Cross multiply
    264,835.13x = 340,039.13 × 340,039.13
  4. Step 4: Simplify right side
    264,835.13x = 115,626,606,530.77
  5. Step 5: Solve for x
    x = 115,626,606,530.77/264,835.13
  6. Step 6: Final answer
    x = 436,598.46

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.