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Finding the Third Proportional to 130,258.50 and 196,773.75

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Solution

The third proportional to 130,258.50 and 196,773.75 is: 297,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,258.50 : 196,773.75 = 196,773.75 : x
  2. Step 2: Convert to fraction form
    130,258.50/196,773.75 = 196,773.75/x
  3. Step 3: Cross multiply
    130,258.50x = 196,773.75 × 196,773.75
  4. Step 4: Simplify right side
    130,258.50x = 38,719,908,689.06
  5. Step 5: Solve for x
    x = 38,719,908,689.06/130,258.50
  6. Step 6: Final answer
    x = 297,254.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.