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Finding the Third Proportional to 113,464 and 241,280

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Solution

The third proportional to 113,464 and 241,280 is: 513,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,464 : 241,280 = 241,280 : x
  2. Step 2: Convert to fraction form
    113,464/241,280 = 241,280/x
  3. Step 3: Cross multiply
    113,464x = 241,280 × 241,280
  4. Step 4: Simplify right side
    113,464x = 58,216,038,400
  5. Step 5: Solve for x
    x = 58,216,038,400/113,464
  6. Step 6: Final answer
    x = 513,079.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.