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Finding the Third Proportional to 141,565.50 and 206,509.50

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Solution

The third proportional to 141,565.50 and 206,509.50 is: 301,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,565.50 : 206,509.50 = 206,509.50 : x
  2. Step 2: Convert to fraction form
    141,565.50/206,509.50 = 206,509.50/x
  3. Step 3: Cross multiply
    141,565.50x = 206,509.50 × 206,509.50
  4. Step 4: Simplify right side
    141,565.50x = 42,646,173,590.25
  5. Step 5: Solve for x
    x = 42,646,173,590.25/141,565.50
  6. Step 6: Final answer
    x = 301,246.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.