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Finding the Third Proportional to 96,321 and 153,400.50

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Solution

The third proportional to 96,321 and 153,400.50 is: 244,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,321 : 153,400.50 = 153,400.50 : x
  2. Step 2: Convert to fraction form
    96,321/153,400.50 = 153,400.50/x
  3. Step 3: Cross multiply
    96,321x = 153,400.50 × 153,400.50
  4. Step 4: Simplify right side
    96,321x = 23,531,713,400.25
  5. Step 5: Solve for x
    x = 23,531,713,400.25/96,321
  6. Step 6: Final answer
    x = 244,305.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.