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Finding the Third Proportional to 131,077.50 and 197,264.25

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Solution

The third proportional to 131,077.50 and 197,264.25 is: 296,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,077.50 : 197,264.25 = 197,264.25 : x
  2. Step 2: Convert to fraction form
    131,077.50/197,264.25 = 197,264.25/x
  3. Step 3: Cross multiply
    131,077.50x = 197,264.25 × 197,264.25
  4. Step 4: Simplify right side
    131,077.50x = 38,913,184,328.06
  5. Step 5: Solve for x
    x = 38,913,184,328.06/131,077.50
  6. Step 6: Final answer
    x = 296,871.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.