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Finding the Third Proportional to 98,631 and 160,240.50

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Solution

The third proportional to 98,631 and 160,240.50 is: 260,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,631 : 160,240.50 = 160,240.50 : x
  2. Step 2: Convert to fraction form
    98,631/160,240.50 = 160,240.50/x
  3. Step 3: Cross multiply
    98,631x = 160,240.50 × 160,240.50
  4. Step 4: Simplify right side
    98,631x = 25,677,017,840.25
  5. Step 5: Solve for x
    x = 25,677,017,840.25/98,631
  6. Step 6: Final answer
    x = 260,334.15

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.