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Finding the Third Proportional to 159,361 and 233,301

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Solution

The third proportional to 159,361 and 233,301 is: 341,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,361 : 233,301 = 233,301 : x
  2. Step 2: Convert to fraction form
    159,361/233,301 = 233,301/x
  3. Step 3: Cross multiply
    159,361x = 233,301 × 233,301
  4. Step 4: Simplify right side
    159,361x = 54,429,356,601
  5. Step 5: Solve for x
    x = 54,429,356,601/159,361
  6. Step 6: Final answer
    x = 341,547.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.