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Finding the Third Proportional to 153,518 and 233,991

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Solution

The third proportional to 153,518 and 233,991 is: 356,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,518 : 233,991 = 233,991 : x
  2. Step 2: Convert to fraction form
    153,518/233,991 = 233,991/x
  3. Step 3: Cross multiply
    153,518x = 233,991 × 233,991
  4. Step 4: Simplify right side
    153,518x = 54,751,788,081
  5. Step 5: Solve for x
    x = 54,751,788,081/153,518
  6. Step 6: Final answer
    x = 356,647.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.