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Finding the Third Proportional to 137,984 and 202,433

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Solution

The third proportional to 137,984 and 202,433 is: 296,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,984 : 202,433 = 202,433 : x
  2. Step 2: Convert to fraction form
    137,984/202,433 = 202,433/x
  3. Step 3: Cross multiply
    137,984x = 202,433 × 202,433
  4. Step 4: Simplify right side
    137,984x = 40,979,119,489
  5. Step 5: Solve for x
    x = 40,979,119,489/137,984
  6. Step 6: Final answer
    x = 296,984.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.