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Finding the Third Proportional to 164,822 and 355,924

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Solution

The third proportional to 164,822 and 355,924 is: 768,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,822 : 355,924 = 355,924 : x
  2. Step 2: Convert to fraction form
    164,822/355,924 = 355,924/x
  3. Step 3: Cross multiply
    164,822x = 355,924 × 355,924
  4. Step 4: Simplify right side
    164,822x = 126,681,893,776
  5. Step 5: Solve for x
    x = 126,681,893,776/164,822
  6. Step 6: Final answer
    x = 768,598.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.