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Finding the Third Proportional to 130,212 and 196,716

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Solution

The third proportional to 130,212 and 196,716 is: 297,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,212 : 196,716 = 196,716 : x
  2. Step 2: Convert to fraction form
    130,212/196,716 = 196,716/x
  3. Step 3: Cross multiply
    130,212x = 196,716 × 196,716
  4. Step 4: Simplify right side
    130,212x = 38,697,184,656
  5. Step 5: Solve for x
    x = 38,697,184,656/130,212
  6. Step 6: Final answer
    x = 297,186.01

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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.