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Finding the Third Proportional to 108,328.64 and 241,551.49

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Solution

The third proportional to 108,328.64 and 241,551.49 is: 538,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,328.64 : 241,551.49 = 241,551.49 : x
  2. Step 2: Convert to fraction form
    108,328.64/241,551.49 = 241,551.49/x
  3. Step 3: Cross multiply
    108,328.64x = 241,551.49 × 241,551.49
  4. Step 4: Simplify right side
    108,328.64x = 58,347,123,378.01
  5. Step 5: Solve for x
    x = 58,347,123,378.01/108,328.64
  6. Step 6: Final answer
    x = 538,612.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.