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Finding the Third Proportional to 168,805.13 and 260,228.25

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Solution

The third proportional to 168,805.13 and 260,228.25 is: 401,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,805.13 : 260,228.25 = 260,228.25 : x
  2. Step 2: Convert to fraction form
    168,805.13/260,228.25 = 260,228.25/x
  3. Step 3: Cross multiply
    168,805.13x = 260,228.25 × 260,228.25
  4. Step 4: Simplify right side
    168,805.13x = 67,718,742,098.06
  5. Step 5: Solve for x
    x = 67,718,742,098.06/168,805.13
  6. Step 6: Final answer
    x = 401,165.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.