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Finding the Third Proportional to 135,313 and 306,045

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Solution

The third proportional to 135,313 and 306,045 is: 692,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,313 : 306,045 = 306,045 : x
  2. Step 2: Convert to fraction form
    135,313/306,045 = 306,045/x
  3. Step 3: Cross multiply
    135,313x = 306,045 × 306,045
  4. Step 4: Simplify right side
    135,313x = 93,663,542,025
  5. Step 5: Solve for x
    x = 93,663,542,025/135,313
  6. Step 6: Final answer
    x = 692,199.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.