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Finding the Third Proportional to 130,472 and 202,021

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Solution

The third proportional to 130,472 and 202,021 is: 312,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,472 : 202,021 = 202,021 : x
  2. Step 2: Convert to fraction form
    130,472/202,021 = 202,021/x
  3. Step 3: Cross multiply
    130,472x = 202,021 × 202,021
  4. Step 4: Simplify right side
    130,472x = 40,812,484,441
  5. Step 5: Solve for x
    x = 40,812,484,441/130,472
  6. Step 6: Final answer
    x = 312,806.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.