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Finding the Third Proportional to 172,464 and 370,128

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Solution

The third proportional to 172,464 and 370,128 is: 794,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,464 : 370,128 = 370,128 : x
  2. Step 2: Convert to fraction form
    172,464/370,128 = 370,128/x
  3. Step 3: Cross multiply
    172,464x = 370,128 × 370,128
  4. Step 4: Simplify right side
    172,464x = 136,994,736,384
  5. Step 5: Solve for x
    x = 136,994,736,384/172,464
  6. Step 6: Final answer
    x = 794,338.16

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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.