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Finding the Third Proportional to 195,052 and 291,298

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Solution

The third proportional to 195,052 and 291,298 is: 435,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,052 : 291,298 = 291,298 : x
  2. Step 2: Convert to fraction form
    195,052/291,298 = 291,298/x
  3. Step 3: Cross multiply
    195,052x = 291,298 × 291,298
  4. Step 4: Simplify right side
    195,052x = 84,854,524,804
  5. Step 5: Solve for x
    x = 84,854,524,804/195,052
  6. Step 6: Final answer
    x = 435,035.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.