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Finding the Third Proportional to 165,718.41 and 360,968.91

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Solution

The third proportional to 165,718.41 and 360,968.91 is: 786,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,718.41 : 360,968.91 = 360,968.91 : x
  2. Step 2: Convert to fraction form
    165,718.41/360,968.91 = 360,968.91/x
  3. Step 3: Cross multiply
    165,718.41x = 360,968.91 × 360,968.91
  4. Step 4: Simplify right side
    165,718.41x = 130,298,551,279.32
  5. Step 5: Solve for x
    x = 130,298,551,279.32/165,718.41
  6. Step 6: Final answer
    x = 786,264.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.