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Finding the Third Proportional to 152,646.50 and 233,514.75

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Solution

The third proportional to 152,646.50 and 233,514.75 is: 357,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,646.50 : 233,514.75 = 233,514.75 : x
  2. Step 2: Convert to fraction form
    152,646.50/233,514.75 = 233,514.75/x
  3. Step 3: Cross multiply
    152,646.50x = 233,514.75 × 233,514.75
  4. Step 4: Simplify right side
    152,646.50x = 54,529,138,467.56
  5. Step 5: Solve for x
    x = 54,529,138,467.56/152,646.50
  6. Step 6: Final answer
    x = 357,224.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.