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Finding the Third Proportional to 112,984 and 243,464

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Solution

The third proportional to 112,984 and 243,464 is: 524,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,984 : 243,464 = 243,464 : x
  2. Step 2: Convert to fraction form
    112,984/243,464 = 243,464/x
  3. Step 3: Cross multiply
    112,984x = 243,464 × 243,464
  4. Step 4: Simplify right side
    112,984x = 59,274,719,296
  5. Step 5: Solve for x
    x = 59,274,719,296/112,984
  6. Step 6: Final answer
    x = 524,629.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.