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Finding the Third Proportional to 237,142 and 513,963

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Solution

The third proportional to 237,142 and 513,963 is: 1,113,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,142 : 513,963 = 513,963 : x
  2. Step 2: Convert to fraction form
    237,142/513,963 = 513,963/x
  3. Step 3: Cross multiply
    237,142x = 513,963 × 513,963
  4. Step 4: Simplify right side
    237,142x = 264,157,965,369
  5. Step 5: Solve for x
    x = 264,157,965,369/237,142
  6. Step 6: Final answer
    x = 1,113,923.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.