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Finding the Third Proportional to 102,565.50 and 215,494.50

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Solution

The third proportional to 102,565.50 and 215,494.50 is: 452,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,565.50 : 215,494.50 = 215,494.50 : x
  2. Step 2: Convert to fraction form
    102,565.50/215,494.50 = 215,494.50/x
  3. Step 3: Cross multiply
    102,565.50x = 215,494.50 × 215,494.50
  4. Step 4: Simplify right side
    102,565.50x = 46,437,879,530.25
  5. Step 5: Solve for x
    x = 46,437,879,530.25/102,565.50
  6. Step 6: Final answer
    x = 452,763.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.