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Finding the Third Proportional to 165,484.31 and 248,004.19

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Solution

The third proportional to 165,484.31 and 248,004.19 is: 371,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,484.31 : 248,004.19 = 248,004.19 : x
  2. Step 2: Convert to fraction form
    165,484.31/248,004.19 = 248,004.19/x
  3. Step 3: Cross multiply
    165,484.31x = 248,004.19 × 248,004.19
  4. Step 4: Simplify right side
    165,484.31x = 61,506,077,017.54
  5. Step 5: Solve for x
    x = 61,506,077,017.54/165,484.31
  6. Step 6: Final answer
    x = 371,673.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.