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Finding the Third Proportional to 140,360 and 215,746.25

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Solution

The third proportional to 140,360 and 215,746.25 is: 331,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,360 : 215,746.25 = 215,746.25 : x
  2. Step 2: Convert to fraction form
    140,360/215,746.25 = 215,746.25/x
  3. Step 3: Cross multiply
    140,360x = 215,746.25 × 215,746.25
  4. Step 4: Simplify right side
    140,360x = 46,546,444,389.06
  5. Step 5: Solve for x
    x = 46,546,444,389.06/140,360
  6. Step 6: Final answer
    x = 331,621.86

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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.