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Finding the Third Proportional to 245,602.13 and 338,197.78

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Solution

The third proportional to 245,602.13 and 338,197.78 is: 465,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,602.13 : 338,197.78 = 338,197.78 : x
  2. Step 2: Convert to fraction form
    245,602.13/338,197.78 = 338,197.78/x
  3. Step 3: Cross multiply
    245,602.13x = 338,197.78 × 338,197.78
  4. Step 4: Simplify right side
    245,602.13x = 114,377,739,242.42
  5. Step 5: Solve for x
    x = 114,377,739,242.42/245,602.13
  6. Step 6: Final answer
    x = 465,703.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.