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Finding the Third Proportional to 264,831.19 and 340,039.69

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Solution

The third proportional to 264,831.19 and 340,039.69 is: 436,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,831.19 : 340,039.69 = 340,039.69 : x
  2. Step 2: Convert to fraction form
    264,831.19/340,039.69 = 340,039.69/x
  3. Step 3: Cross multiply
    264,831.19x = 340,039.69 × 340,039.69
  4. Step 4: Simplify right side
    264,831.19x = 115,626,989,075.10
  5. Step 5: Solve for x
    x = 115,626,989,075.10/264,831.19
  6. Step 6: Final answer
    x = 436,606.39

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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.