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Finding the Third Proportional to 233,971.50 and 258,574.50

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Solution

The third proportional to 233,971.50 and 258,574.50 is: 285,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,971.50 : 258,574.50 = 258,574.50 : x
  2. Step 2: Convert to fraction form
    233,971.50/258,574.50 = 258,574.50/x
  3. Step 3: Cross multiply
    233,971.50x = 258,574.50 × 258,574.50
  4. Step 4: Simplify right side
    233,971.50x = 66,860,772,050.25
  5. Step 5: Solve for x
    x = 66,860,772,050.25/233,971.50
  6. Step 6: Final answer
    x = 285,764.60

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.