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Finding the Third Proportional to 158,634 and 233,565

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Solution

The third proportional to 158,634 and 233,565 is: 343,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,634 : 233,565 = 233,565 : x
  2. Step 2: Convert to fraction form
    158,634/233,565 = 233,565/x
  3. Step 3: Cross multiply
    158,634x = 233,565 × 233,565
  4. Step 4: Simplify right side
    158,634x = 54,552,609,225
  5. Step 5: Solve for x
    x = 54,552,609,225/158,634
  6. Step 6: Final answer
    x = 343,889.77

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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.