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Finding the Third Proportional to 113,218.50 and 242,295

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Solution

The third proportional to 113,218.50 and 242,295 is: 518,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,218.50 : 242,295 = 242,295 : x
  2. Step 2: Convert to fraction form
    113,218.50/242,295 = 242,295/x
  3. Step 3: Cross multiply
    113,218.50x = 242,295 × 242,295
  4. Step 4: Simplify right side
    113,218.50x = 58,706,867,025
  5. Step 5: Solve for x
    x = 58,706,867,025/113,218.50
  6. Step 6: Final answer
    x = 518,527.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.