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Finding the Third Proportional to 164,448 and 351,360

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Solution

The third proportional to 164,448 and 351,360 is: 750,716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,448 : 351,360 = 351,360 : x
  2. Step 2: Convert to fraction form
    164,448/351,360 = 351,360/x
  3. Step 3: Cross multiply
    164,448x = 351,360 × 351,360
  4. Step 4: Simplify right side
    164,448x = 123,453,849,600
  5. Step 5: Solve for x
    x = 123,453,849,600/164,448
  6. Step 6: Final answer
    x = 750,716.64

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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.