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Finding the Third Proportional to 157,783.50 and 215,565.75

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Solution

The third proportional to 157,783.50 and 215,565.75 is: 294,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,783.50 : 215,565.75 = 215,565.75 : x
  2. Step 2: Convert to fraction form
    157,783.50/215,565.75 = 215,565.75/x
  3. Step 3: Cross multiply
    157,783.50x = 215,565.75 × 215,565.75
  4. Step 4: Simplify right side
    157,783.50x = 46,468,592,573.06
  5. Step 5: Solve for x
    x = 46,468,592,573.06/157,783.50
  6. Step 6: Final answer
    x = 294,508.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.