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Finding the Third Proportional to 112,893 and 245,223

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Solution

The third proportional to 112,893 and 245,223 is: 532,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,893 : 245,223 = 245,223 : x
  2. Step 2: Convert to fraction form
    112,893/245,223 = 245,223/x
  3. Step 3: Cross multiply
    112,893x = 245,223 × 245,223
  4. Step 4: Simplify right side
    112,893x = 60,134,319,729
  5. Step 5: Solve for x
    x = 60,134,319,729/112,893
  6. Step 6: Final answer
    x = 532,666.50

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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.