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Finding the Third Proportional to 163,953.94 and 241,242.28

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Solution

The third proportional to 163,953.94 and 241,242.28 is: 354,964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,953.94 : 241,242.28 = 241,242.28 : x
  2. Step 2: Convert to fraction form
    163,953.94/241,242.28 = 241,242.28/x
  3. Step 3: Cross multiply
    163,953.94x = 241,242.28 × 241,242.28
  4. Step 4: Simplify right side
    163,953.94x = 58,197,838,262.70
  5. Step 5: Solve for x
    x = 58,197,838,262.70/163,953.94
  6. Step 6: Final answer
    x = 354,964.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.