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Finding the Third Proportional to 158,610 and 233,531

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Solution

The third proportional to 158,610 and 233,531 is: 343,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,610 : 233,531 = 233,531 : x
  2. Step 2: Convert to fraction form
    158,610/233,531 = 233,531/x
  3. Step 3: Cross multiply
    158,610x = 233,531 × 233,531
  4. Step 4: Simplify right side
    158,610x = 54,536,727,961
  5. Step 5: Solve for x
    x = 54,536,727,961/158,610
  6. Step 6: Final answer
    x = 343,841.67

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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.