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Finding the Third Proportional to 245,817 and 332,118

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Solution

The third proportional to 245,817 and 332,118 is: 448,717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,817 : 332,118 = 332,118 : x
  2. Step 2: Convert to fraction form
    245,817/332,118 = 332,118/x
  3. Step 3: Cross multiply
    245,817x = 332,118 × 332,118
  4. Step 4: Simplify right side
    245,817x = 110,302,365,924
  5. Step 5: Solve for x
    x = 110,302,365,924/245,817
  6. Step 6: Final answer
    x = 448,717.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.