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Finding the Third Proportional to 210,141 and 461,106

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Solution

The third proportional to 210,141 and 461,106 is: 1,011,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,141 : 461,106 = 461,106 : x
  2. Step 2: Convert to fraction form
    210,141/461,106 = 461,106/x
  3. Step 3: Cross multiply
    210,141x = 461,106 × 461,106
  4. Step 4: Simplify right side
    210,141x = 212,618,743,236
  5. Step 5: Solve for x
    x = 212,618,743,236/210,141
  6. Step 6: Final answer
    x = 1,011,790.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.