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Finding the Third Proportional to 118,448 and 254,464

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Solution

The third proportional to 118,448 and 254,464 is: 546,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,448 : 254,464 = 254,464 : x
  2. Step 2: Convert to fraction form
    118,448/254,464 = 254,464/x
  3. Step 3: Cross multiply
    118,448x = 254,464 × 254,464
  4. Step 4: Simplify right side
    118,448x = 64,751,927,296
  5. Step 5: Solve for x
    x = 64,751,927,296/118,448
  6. Step 6: Final answer
    x = 546,669.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.