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Finding the Third Proportional to 112,826 and 243,283

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Solution

The third proportional to 112,826 and 243,283 is: 524,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,826 : 243,283 = 243,283 : x
  2. Step 2: Convert to fraction form
    112,826/243,283 = 243,283/x
  3. Step 3: Cross multiply
    112,826x = 243,283 × 243,283
  4. Step 4: Simplify right side
    112,826x = 59,186,618,089
  5. Step 5: Solve for x
    x = 59,186,618,089/112,826
  6. Step 6: Final answer
    x = 524,583.15

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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.