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Finding the Third Proportional to 158,857.50 and 309,732

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Solution

The third proportional to 158,857.50 and 309,732 is: 603,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,857.50 : 309,732 = 309,732 : x
  2. Step 2: Convert to fraction form
    158,857.50/309,732 = 309,732/x
  3. Step 3: Cross multiply
    158,857.50x = 309,732 × 309,732
  4. Step 4: Simplify right side
    158,857.50x = 95,933,911,824
  5. Step 5: Solve for x
    x = 95,933,911,824/158,857.50
  6. Step 6: Final answer
    x = 603,899.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.