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Finding the Third Proportional to 112,464 and 243,288

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Solution

The third proportional to 112,464 and 243,288 is: 526,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,464 : 243,288 = 243,288 : x
  2. Step 2: Convert to fraction form
    112,464/243,288 = 243,288/x
  3. Step 3: Cross multiply
    112,464x = 243,288 × 243,288
  4. Step 4: Simplify right side
    112,464x = 59,189,050,944
  5. Step 5: Solve for x
    x = 59,189,050,944/112,464
  6. Step 6: Final answer
    x = 526,293.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.