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Finding the Third Proportional to 111,358.13 and 242,816.63

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Solution

The third proportional to 111,358.13 and 242,816.63 is: 529,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,358.13 : 242,816.63 = 242,816.63 : x
  2. Step 2: Convert to fraction form
    111,358.13/242,816.63 = 242,816.63/x
  3. Step 3: Cross multiply
    111,358.13x = 242,816.63 × 242,816.63
  4. Step 4: Simplify right side
    111,358.13x = 58,959,913,376.39
  5. Step 5: Solve for x
    x = 58,959,913,376.39/111,358.13
  6. Step 6: Final answer
    x = 529,462.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.