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Finding the Third Proportional to 175,984 and 265,480

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Solution

The third proportional to 175,984 and 265,480 is: 400,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,984 : 265,480 = 265,480 : x
  2. Step 2: Convert to fraction form
    175,984/265,480 = 265,480/x
  3. Step 3: Cross multiply
    175,984x = 265,480 × 265,480
  4. Step 4: Simplify right side
    175,984x = 70,479,630,400
  5. Step 5: Solve for x
    x = 70,479,630,400/175,984
  6. Step 6: Final answer
    x = 400,488.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.