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Finding the Third Proportional to 108,328.50 and 226,498.50

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Solution

The third proportional to 108,328.50 and 226,498.50 is: 473,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,328.50 : 226,498.50 = 226,498.50 : x
  2. Step 2: Convert to fraction form
    108,328.50/226,498.50 = 226,498.50/x
  3. Step 3: Cross multiply
    108,328.50x = 226,498.50 × 226,498.50
  4. Step 4: Simplify right side
    108,328.50x = 51,301,570,502.25
  5. Step 5: Solve for x
    x = 51,301,570,502.25/108,328.50
  6. Step 6: Final answer
    x = 473,574.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.