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Finding the Third Proportional to 145,194.75 and 213,031.13

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Solution

The third proportional to 145,194.75 and 213,031.13 is: 312,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,194.75 : 213,031.13 = 213,031.13 : x
  2. Step 2: Convert to fraction form
    145,194.75/213,031.13 = 213,031.13/x
  3. Step 3: Cross multiply
    145,194.75x = 213,031.13 × 213,031.13
  4. Step 4: Simplify right side
    145,194.75x = 45,382,260,218.77
  5. Step 5: Solve for x
    x = 45,382,260,218.77/145,194.75
  6. Step 6: Final answer
    x = 312,561.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.