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Finding the Third Proportional to 130,160 and 196,347

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Solution

The third proportional to 130,160 and 196,347 is: 296,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,160 : 196,347 = 196,347 : x
  2. Step 2: Convert to fraction form
    130,160/196,347 = 196,347/x
  3. Step 3: Cross multiply
    130,160x = 196,347 × 196,347
  4. Step 4: Simplify right side
    130,160x = 38,552,144,409
  5. Step 5: Solve for x
    x = 38,552,144,409/130,160
  6. Step 6: Final answer
    x = 296,190.41

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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.