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Finding the Third Proportional to 132,243 and 201,461

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Solution

The third proportional to 132,243 and 201,461 is: 306,908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,243 : 201,461 = 201,461 : x
  2. Step 2: Convert to fraction form
    132,243/201,461 = 201,461/x
  3. Step 3: Cross multiply
    132,243x = 201,461 × 201,461
  4. Step 4: Simplify right side
    132,243x = 40,586,534,521
  5. Step 5: Solve for x
    x = 40,586,534,521/132,243
  6. Step 6: Final answer
    x = 306,908.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.