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Finding the Third Proportional to 140,442.38 and 303,330.38

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Solution

The third proportional to 140,442.38 and 303,330.38 is: 655,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,442.38 : 303,330.38 = 303,330.38 : x
  2. Step 2: Convert to fraction form
    140,442.38/303,330.38 = 303,330.38/x
  3. Step 3: Cross multiply
    140,442.38x = 303,330.38 × 303,330.38
  4. Step 4: Simplify right side
    140,442.38x = 92,009,316,397.64
  5. Step 5: Solve for x
    x = 92,009,316,397.64/140,442.38
  6. Step 6: Final answer
    x = 655,139.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.