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Finding the Third Proportional to 119,668.50 and 254,889

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Solution

The third proportional to 119,668.50 and 254,889 is: 542,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,668.50 : 254,889 = 254,889 : x
  2. Step 2: Convert to fraction form
    119,668.50/254,889 = 254,889/x
  3. Step 3: Cross multiply
    119,668.50x = 254,889 × 254,889
  4. Step 4: Simplify right side
    119,668.50x = 64,968,402,321
  5. Step 5: Solve for x
    x = 64,968,402,321/119,668.50
  6. Step 6: Final answer
    x = 542,903.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.