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Finding the Third Proportional to 175,996 and 288,924

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Solution

The third proportional to 175,996 and 288,924 is: 474,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,996 : 288,924 = 288,924 : x
  2. Step 2: Convert to fraction form
    175,996/288,924 = 288,924/x
  3. Step 3: Cross multiply
    175,996x = 288,924 × 288,924
  4. Step 4: Simplify right side
    175,996x = 83,477,077,776
  5. Step 5: Solve for x
    x = 83,477,077,776/175,996
  6. Step 6: Final answer
    x = 474,312.36

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.