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Finding the Third Proportional to 255,964 and 352,842

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Solution

The third proportional to 255,964 and 352,842 is: 486,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,964 : 352,842 = 352,842 : x
  2. Step 2: Convert to fraction form
    255,964/352,842 = 352,842/x
  3. Step 3: Cross multiply
    255,964x = 352,842 × 352,842
  4. Step 4: Simplify right side
    255,964x = 124,497,476,964
  5. Step 5: Solve for x
    x = 124,497,476,964/255,964
  6. Step 6: Final answer
    x = 486,386.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.