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Finding the Third Proportional to 175,745 and 363,952

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Solution

The third proportional to 175,745 and 363,952 is: 753,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,745 : 363,952 = 363,952 : x
  2. Step 2: Convert to fraction form
    175,745/363,952 = 363,952/x
  3. Step 3: Cross multiply
    175,745x = 363,952 × 363,952
  4. Step 4: Simplify right side
    175,745x = 132,461,058,304
  5. Step 5: Solve for x
    x = 132,461,058,304/175,745
  6. Step 6: Final answer
    x = 753,711.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.