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Finding the Third Proportional to 164,448 and 359,332

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Solution

The third proportional to 164,448 and 359,332 is: 785,169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,448 : 359,332 = 359,332 : x
  2. Step 2: Convert to fraction form
    164,448/359,332 = 359,332/x
  3. Step 3: Cross multiply
    164,448x = 359,332 × 359,332
  4. Step 4: Simplify right side
    164,448x = 129,119,486,224
  5. Step 5: Solve for x
    x = 129,119,486,224/164,448
  6. Step 6: Final answer
    x = 785,169.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.