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Finding the Third Proportional to 152,973.75 and 326,967

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Solution

The third proportional to 152,973.75 and 326,967 is: 698,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,973.75 : 326,967 = 326,967 : x
  2. Step 2: Convert to fraction form
    152,973.75/326,967 = 326,967/x
  3. Step 3: Cross multiply
    152,973.75x = 326,967 × 326,967
  4. Step 4: Simplify right side
    152,973.75x = 106,907,419,089
  5. Step 5: Solve for x
    x = 106,907,419,089/152,973.75
  6. Step 6: Final answer
    x = 698,861.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.