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Finding the Third Proportional to 112,944 and 245,565

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Solution

The third proportional to 112,944 and 245,565 is: 533,912.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,944 : 245,565 = 245,565 : x
  2. Step 2: Convert to fraction form
    112,944/245,565 = 245,565/x
  3. Step 3: Cross multiply
    112,944x = 245,565 × 245,565
  4. Step 4: Simplify right side
    112,944x = 60,302,169,225
  5. Step 5: Solve for x
    x = 60,302,169,225/112,944
  6. Step 6: Final answer
    x = 533,912.11

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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.