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Finding the Third Proportional to 153,022 and 229,532

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Solution

The third proportional to 153,022 and 229,532 is: 344,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,022 : 229,532 = 229,532 : x
  2. Step 2: Convert to fraction form
    153,022/229,532 = 229,532/x
  3. Step 3: Cross multiply
    153,022x = 229,532 × 229,532
  4. Step 4: Simplify right side
    153,022x = 52,684,939,024
  5. Step 5: Solve for x
    x = 52,684,939,024/153,022
  6. Step 6: Final answer
    x = 344,296.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.