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Finding the Third Proportional to 175,352 and 372,574

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Solution

The third proportional to 175,352 and 372,574 is: 791,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,352 : 372,574 = 372,574 : x
  2. Step 2: Convert to fraction form
    175,352/372,574 = 372,574/x
  3. Step 3: Cross multiply
    175,352x = 372,574 × 372,574
  4. Step 4: Simplify right side
    175,352x = 138,811,385,476
  5. Step 5: Solve for x
    x = 138,811,385,476/175,352
  6. Step 6: Final answer
    x = 791,615.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.