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Finding the Third Proportional to 174,862.13 and 265,705.31

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Solution

The third proportional to 174,862.13 and 265,705.31 is: 403,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,862.13 : 265,705.31 = 265,705.31 : x
  2. Step 2: Convert to fraction form
    174,862.13/265,705.31 = 265,705.31/x
  3. Step 3: Cross multiply
    174,862.13x = 265,705.31 × 265,705.31
  4. Step 4: Simplify right side
    174,862.13x = 70,599,313,090.72
  5. Step 5: Solve for x
    x = 70,599,313,090.72/174,862.13
  6. Step 6: Final answer
    x = 403,742.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.