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Finding the Third Proportional to 203,386 and 307,707

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Solution

The third proportional to 203,386 and 307,707 is: 465,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,386 : 307,707 = 307,707 : x
  2. Step 2: Convert to fraction form
    203,386/307,707 = 307,707/x
  3. Step 3: Cross multiply
    203,386x = 307,707 × 307,707
  4. Step 4: Simplify right side
    203,386x = 94,683,597,849
  5. Step 5: Solve for x
    x = 94,683,597,849/203,386
  6. Step 6: Final answer
    x = 465,536.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.