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Finding the Third Proportional to 255,514.50 and 347,159.67

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Solution

The third proportional to 255,514.50 and 347,159.67 is: 471,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,514.50 : 347,159.67 = 347,159.67 : x
  2. Step 2: Convert to fraction form
    255,514.50/347,159.67 = 347,159.67/x
  3. Step 3: Cross multiply
    255,514.50x = 347,159.67 × 347,159.67
  4. Step 4: Simplify right side
    255,514.50x = 120,519,837,776.36
  5. Step 5: Solve for x
    x = 120,519,837,776.36/255,514.50
  6. Step 6: Final answer
    x = 471,675.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.