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Finding the Third Proportional to 158,602 and 233,522

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Solution

The third proportional to 158,602 and 233,522 is: 343,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,602 : 233,522 = 233,522 : x
  2. Step 2: Convert to fraction form
    158,602/233,522 = 233,522/x
  3. Step 3: Cross multiply
    158,602x = 233,522 × 233,522
  4. Step 4: Simplify right side
    158,602x = 54,532,524,484
  5. Step 5: Solve for x
    x = 54,532,524,484/158,602
  6. Step 6: Final answer
    x = 343,832.51

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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.