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Finding the Third Proportional to 159,948 and 230,382

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Solution

The third proportional to 159,948 and 230,382 is: 331,832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,948 : 230,382 = 230,382 : x
  2. Step 2: Convert to fraction form
    159,948/230,382 = 230,382/x
  3. Step 3: Cross multiply
    159,948x = 230,382 × 230,382
  4. Step 4: Simplify right side
    159,948x = 53,075,865,924
  5. Step 5: Solve for x
    x = 53,075,865,924/159,948
  6. Step 6: Final answer
    x = 331,832.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.