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Finding the Third Proportional to 112,338 and 245,777

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Solution

The third proportional to 112,338 and 245,777 is: 537,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,338 : 245,777 = 245,777 : x
  2. Step 2: Convert to fraction form
    112,338/245,777 = 245,777/x
  3. Step 3: Cross multiply
    112,338x = 245,777 × 245,777
  4. Step 4: Simplify right side
    112,338x = 60,406,333,729
  5. Step 5: Solve for x
    x = 60,406,333,729/112,338
  6. Step 6: Final answer
    x = 537,719.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.