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Finding the Third Proportional to 245,428 and 335,848

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Solution

The third proportional to 245,428 and 335,848 is: 459,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,428 : 335,848 = 335,848 : x
  2. Step 2: Convert to fraction form
    245,428/335,848 = 335,848/x
  3. Step 3: Cross multiply
    245,428x = 335,848 × 335,848
  4. Step 4: Simplify right side
    245,428x = 112,793,879,104
  5. Step 5: Solve for x
    x = 112,793,879,104/245,428
  6. Step 6: Final answer
    x = 459,580.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.