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Finding the Third Proportional to 113,235.75 and 243,859.50

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Solution

The third proportional to 113,235.75 and 243,859.50 is: 525,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,235.75 : 243,859.50 = 243,859.50 : x
  2. Step 2: Convert to fraction form
    113,235.75/243,859.50 = 243,859.50/x
  3. Step 3: Cross multiply
    113,235.75x = 243,859.50 × 243,859.50
  4. Step 4: Simplify right side
    113,235.75x = 59,467,455,740.25
  5. Step 5: Solve for x
    x = 59,467,455,740.25/113,235.75
  6. Step 6: Final answer
    x = 525,165.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.