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Finding the Third Proportional to 98,448.75 and 152,597.25

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Solution

The third proportional to 98,448.75 and 152,597.25 is: 236,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,448.75 : 152,597.25 = 152,597.25 : x
  2. Step 2: Convert to fraction form
    98,448.75/152,597.25 = 152,597.25/x
  3. Step 3: Cross multiply
    98,448.75x = 152,597.25 × 152,597.25
  4. Step 4: Simplify right side
    98,448.75x = 23,285,920,707.56
  5. Step 5: Solve for x
    x = 23,285,920,707.56/98,448.75
  6. Step 6: Final answer
    x = 236,528.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.