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Finding the Third Proportional to 142,863 and 215,590.50

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Solution

The third proportional to 142,863 and 215,590.50 is: 325,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,863 : 215,590.50 = 215,590.50 : x
  2. Step 2: Convert to fraction form
    142,863/215,590.50 = 215,590.50/x
  3. Step 3: Cross multiply
    142,863x = 215,590.50 × 215,590.50
  4. Step 4: Simplify right side
    142,863x = 46,479,263,690.25
  5. Step 5: Solve for x
    x = 46,479,263,690.25/142,863
  6. Step 6: Final answer
    x = 325,341.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.