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Finding the Third Proportional to 163,464 and 344,424

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Solution

The third proportional to 163,464 and 344,424 is: 725,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,464 : 344,424 = 344,424 : x
  2. Step 2: Convert to fraction form
    163,464/344,424 = 344,424/x
  3. Step 3: Cross multiply
    163,464x = 344,424 × 344,424
  4. Step 4: Simplify right side
    163,464x = 118,627,891,776
  5. Step 5: Solve for x
    x = 118,627,891,776/163,464
  6. Step 6: Final answer
    x = 725,712.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.